What is the degree of polynomial?
With example!​

Answers

Answer 1

Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer 2

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)


Related Questions

Determine the measurement of the missing angle

Answers

Answer:

31

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

The sum of 423 and 65 is

Answers

Answer:

488

Step-by-step explanation:

The product of w and 2 is greater than or equal to 19.

Answers

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s

Answers

Answer: north 80 m/s

Explanation:

speed = distance/time = 56/0.7 = 80

Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north

Can a shape have the perimeter be the same as the area?

Answers

Answer:

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Step-by-step explanation:

Answer maybe

Step-by-step explanation:

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Answers

Answer:  35 feet

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?

Answers

Answer:

195 square centimeters per second

Step-by-step explanation:

Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Answers

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

5/6 times 2/7 and simplified

Answers

Step-by-step explanation:

⅚ײ/7 = 5/21.

hope this helps you.

Answer: it 5/21

Step-by-step explanation:

this is how i got it

5/6×2/7=  

5 × 2/6 × 7= 10/42

= 10 ÷ 2/42 ÷ 2

= 5/21

9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​

Answers

10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​ · 9. 25 students each paid $6.50 to go to the museum ...

Work out the area of triangle ABC.

Answers

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?​

Answers

theres question marks where the exponent is supposed to go

14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?​

Answers

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

It is given that 2(3+x)=6+2x this is e so ample of which property

Answers

Answer:

  distributive property

Step-by-step explanation:

The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.

  2(3 +x) = 2(3) +2(x) = 6 +2x

Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.

Answers

Julio's down payment was 22.08% of the purchase price.

Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:

(267,900 x 1.05875) - (1558 x 12 x 20) = X

582,682.50 - 373,920 = X

208,762.50 = X  

267,900 = 100

208,762.50 = X

208,762.50 x 100 / 267,900

77.92 = X

100 - 77.92 = 22.08

Therefore, Julio's down payment was 22.08% of the purchase price.

Learn more about maths in https://brainly.com/question/25917920

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

good night everyone : )

Answers

Answer:

Good night sagey!!!! sleep well




[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64

Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.

Answers

Answer:

hope it helps have a great day

Answer is option C

Answer is c) 128

I added the step by step process in the pic attached, I don't know how to explain it very well but you can use binomial theorem for (3x-1)^7

Then you can add up all the coefficients of the calculated values as the question mentions afterwards a^7 + a^6 +..... which means it only wants you to add up the coefficients of the consecutive x terms, otherwise it would say a^7x^7 + a^6x^6 +..... and so on

Hope this helps :)

Evaluate the expression when B=7 c=-7. c-6b

Answers

Answer:

7 - (6 x 7) = -35

Answer:

-7-6(7)= 35

7 - (6 x 7) = 35

Is this a quadratic function? Why or why not?

Answers

Answer:

Not a quadratic function.

Step-by-step explanation:

Definitions

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

Vertical Line Test :

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

Horizontal Parabola: Not a Function      

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the left

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

Equation of the Horizontal Parabola in Vertex Form:

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

This implies that each x-values on the graph have more than one corresponding y-values:

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0​

Answers

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

Heather bought 7 cases of water for $38.50. How much did each case cost?

Answers

38.50/7 = $5.50 for each cases of water Heather bought.

Answer:

$5.50 / case

Step-by-step explanation:

Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case

Need help due in 1 min!!
Simplify!!

Answers

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28

Answers

28 Is the answer because 7X4=28 & 4X7=28 so

What is 1/2 times 3/4 in fraction form?

Answers

Answer:

3/8 is the answer.

Step-by-step explanation:

1/2 x 3/4=> 3/8

Conclusion:

Therefore, 3/8 is the answer.

Hoped this helped.

3/8 because 1x3 is 3 and 2x4 is 8 there is not simplification. 3/8 or 2 and 1/4

How many feet does each student climb after 10 steps?

Answers

The answer I think should be 15 hope this helps

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Jason likes to play video games. His parents allow him to play

Answers

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.

Which expression gives the percent of survey participants who chose fishing?

Answers

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

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