Answer:
Classifying Polynomials
Polynomials can be classified two different ways - by the number of terms and by their degree.
1. Number of terms.
A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2
Practice classifying these polynomials by the number of terms:
1. 5y
2. 3x2-3x+1
3. 5y-10
4. 8xy
5. 3x4+x2-5x+9
Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial
2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).
Examples:
5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.
3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.
8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.
5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.
3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.
Classify these polynomials by their degree.
1.7x3+52+1
2.6y5+9y2-3y+8
3.8x-4
4.9x2y+3
5.12x2
Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree
The polynomial 3x² + 8x is a quadratic binomial.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, A polynomial 3x² + 8x.
Now, The highest power of the variable is 2 hence it is a quadratic polynomial and the number of terms is 2 hence it is a binomial also.
So, The polynomial 3x² + 8x is a quadratic binomial.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ5
Write an explicit formula for the sequence 8, 6, 4, 2, 0, ... Then find a 14.
Oan=-2n + 10; -16
Oan=-2n + 8; -18
O an=-2n +8; -20
Oan=-2n + 10; -18
Answer:
the answer is -2n+10;-18
How do you know that 4 is the biggest whole number that divides both 36 and 80?
Answer:
you divide 4 by those numbers then you keep going higher
Step-by-step explanation:
HELPOOPPPPPPPPPSBSBBSHSHABDBNSKA
Answer:
Step-by-step explanation:
DUE SOON, PLEASE HELP
Answer:
image is unseeable,plz send it again
Step-by-step explanation:
Can someone please help? This is due soon and I have no clue how to do it. Can someone please explain how to do this?
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
_____
Additional comment
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)
__
There are two other "geometric mean" relationships in this triangle.
The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Find the perimeter of the rectangle below.
5x2 - 6
2x2
help please!! The measures of the angles of a triangle are shown in the figure below. solve for x
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The angles are complementary.
x° = 90° -57°
x = 33
Solve for x please and thank you.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
See https://brainly.com/question/22237817 for a complete explanation.
Find the value of 1/6 of 2/7 of 1/2 of 168?
Answer:
The answer is 4
Step-by-step explanation:
Answer:
1/6 of 2/7 is 1/21
1/2 of 168 is 84
Step-by-step explanation:
top times top and bottom times bottom then reduce
1/2 times anything is just the other number divided by 2
for example 1/2*168 is the same thing as 168 divided by 2
Perform the operation (x^2+8x+8)+(-10x^2+5x)
Answer:
Step-by-step explanation:
(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8
= -x^2 +13x + 8
Answer:
-9x^+13x+8
Step-by-step explanation:
the vertices of a triangle are formed by the intersections of the following three lines:
y=x
x=8
y=1/4x + 3
graph the triangle and its image after the composition
Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Group of answer choices
$$log_{5} x=625$$5=625
l
o
g
5
x
=
625
log5625=
log
5
625
=
x
log5625=
log
5
625
=
x
log5=625
log
x
5
=
625
log5=625
log
x
5
=
625
log6255=
log
625
5
=
x
log6255=
log
625
5
=
x
Answer:
4th power
5x5x5x5 = 625
Step-by-step explanation:
Answer: log5(625)=x
Step-by-step explanation:
What is the GFC for 80 and 96
Answer:
16
Step-by-step explanation:
Greatest common factor (GCF) of 80 and 96 is 16. We will now calculate the prime factors of 80 and 96, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80 and 96.
Please help.
Is algebra.
The answer for the system is, (2, 5)
y= 5, x= 2
Jim is an electrician. He charges a $150 home-visit fee and $45 per hour, with
the first two hours free. Which equation could elyse use to calculate the cost, c, to have Jim work at her house for 5 hours?
a. c 5 150 1 45(5)
b. c 5 150 1 45(5 1 2)
c. c 5 150 1 45(5 2 2)
d. c 5 (150 1 45)(5 2 2)
Answer:
b. c 5 150 1 45(5 1 2)
Step-by-step explanation:
t/12 = 4
solve for the solution
plz help i can not figure this out
Answer: 30 cubic units
Step-by-step explanation:
Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30
work out the sizes of angles x,y and z
Answer:
x &y=64 z=20
Step-by-step explanation:
ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64
To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20
factor 8m^6 - 64n^12p^15.
Pls only answer if u know what to do, don't waste my points
Answer:
8(m^2 − 2n^4 p^5) (m^4 + 2m^2 n^4 p^5 + 4n^8 p^10)
Step-by-step explanation:
um long explanation and im bad at explaining
can i have brainliest? =)
Is 2,-2,3,-2,7,-2,11,-2 a function
Answer:
Step-by-step explanation:
D
The baker's at a bakery can make 160 bagels in 4 hours how many bagesl can they bake in 16 hours? What is that rate per hour. "Explanation"
Answer:
640 bagels
Rate: 40bagels/hour
Step-by-step explanation:
If the baker's at a bakery can make 160 bagels in 4 hours, then;
160 bagels = 4 hours
To calculate the amount the baker can bake in 16hours, we can write;
x bagels = 16hours
Divide both expressions
160/x = 4/16
160/x = 1/4
Cross multiply
x* 1= 160 * 4
x = 640
Hence the baker can bake 640 bagels in 16hours
To know the rate per hour, we can write;
x bagel = 1hr
Recall that; 160bagels = 4 hours
Cross multiply
x * 4 = 1 * 160
4x = 160
x = 160/4
x = 40
Hence the rate per hour is 40bagels/hour
Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale factor of 0.5.
Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
so 1 equals one to q 1
Pls help ASAP
Simplify [tex]\sqrt{.64x^2}[/tex] if [tex]x\leq 0[/tex]
The answer is not (4/5)x
please help!!!!!! thank you
24 = 3 (b+1) plz help
Answer:
b= 7
Step-by-step explanation:
24= 3b + 3
24-3 = 3b
21= 3b
21/3 = b
7 = b
6.
Write an equation of a line with the given slope and y-intercept.
m = (4)/(5), b = 2
A. y= (4)/(5)x - 2
B. y= (4)/(5)x + 2
C. y= (5)/(4)x + 2
D. y= 2x + (4)/(5)
Answer:
B. y= (4)/(5)x + 2
Step-by-step explanation:
Use the slope-intercept form
y = m x + b to find the slope m and y-intercept b .
Slope:
5
3
y-intercept: ( 0 , − 2 )
Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees. What is the measure of minor arc ? 17° 75° 149° 211°
Answer:
149
Step-by-step explanation:
JUST TOOK TEST
Answer:
149
Step-by-step explanation:
What is the measure of x?
30°
60°
90°
120°
Answer:
the measurement of x is 30 degrees
Find the common difference for the given sequence
1.2, 1.85, 2.5, 3.15, ...
Answer:
c)0.65
Step-by-step explanation:
Answer:
0.65
Step-by-step explanation:
1.2 + 0.65 = 1.85
1.85 + 0.65 = 2.5
2.5 + 0.65 = 3.15
And so on...
2+2? PLZZZZZZZZZ FORRRRR MY GRADUACTIon
Answer:
ummmmmmmmmm 22
(kk it's 4)
hope this helped ur education btw