uestion to Answer:
1. What can you say about the value of a polynomial
when P(a)=0

Answers

Answer 1

Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

[tex]P(a) = 0[/tex]

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

[tex]P(x) = x^2 - x - 2[/tex]

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]

Factorize the numerator

[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]

[tex]\frac{P(x)}{x} =x + 1}[/tex]

See that x - 2 is a divisor

To check

Set x - 2 to 0

[tex]x -2 = 0[/tex]

[tex]x = 2[/tex]

So, we have:

[tex]P(x) = x^2 - x - 2[/tex]

[tex]P(2) = 2^2 - 2 - 2[/tex]

[tex]P(2) = 4 - 2 - 2[/tex]

[tex]P(2) = 0[/tex]


Related Questions


If m TUV = 64, mZTUW = 7x - 2,
and mZWUV = 24, find the value of x.
1
ud
V
X =

Answers

X=6

The easiest way to solve is
64-24=40
40/7= 6
X=6

Select the function that represents the simple interest formula.

Answers

Answer:

C

Step-by-step explanation:

A P E X

she fell to the floor and cried all afternoon

simple

compound

complex

Answers

Answer:

Compound.

Step-by-step explanation:

A compound sentence consists of two independent clauses and one coordinating conjunction to join the two clauses together. "She fell to the floor" is the first independent clause and "She cried all afternoon" is the second independent clause while "and" is the coordinating conjunction.

she fell to the floor and cried all afternoon is a compound sentence.

What is compound sentence ?A coordinating conjunction (for, and, nor, but, or, still, or so) plus a comma, or a semicolon alone, can be used to combine two independent clauses to form a compound sentence.A compound sentence is one that joins two independent clauses with a conjunction, most frequently and or but.They work best when integrating two or more independent, connected sentences into a solitary, cohesive one.At least two independent clauses and one or more dependent clauses make up a compound-complex sentence.

To learn more about  compound sentence refer,

https://brainly.com/question/24077833

#SPJ2

A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.

How many more pieces of wire than pieces rope will there be?

Answers

Answer:

that will be 40(wire)-12(rope)=28parts

Step-by-step explanation:

6meter wire div by 0.15 eq to 40

3meter rope div 0.25 eq to 12

so we use 40-12=28parts

6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!

Answers

Answer: 6 (z+13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

10-z=6

We move all terms to the left:

10-z-(6)=0

We add all the numbers together, and all the variables

-1z+4=0

We move all terms containing z to the left, all other terms to the right

-z=-4

z=-4/-1

z=+4

SOMEONE HELP ME PLEASE ILL GIVE BRAINLY

Answers

Answer:

1st 3rd and 4th

Step-by-step explanation:

Answer:

The second one is the correct answer

Step-by-step explanation:

You have

[tex] \frac{1}{4} [/tex]

so it is Stretch

and -1 so Right 1 (When the number is in parentheses, the changes on the x-chart are reversed.) and finally +3 so Up3

which property is used in the problem below
2(x+4)=2x+8​

Answers

Answer:

Distributive property

The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.

Step-by-step explanation:

Answer:God bless you and your family and friends and stay safe and good luck! :)

Step-by-step explanation:

The answer is C) The Distributive property.

2(x+4) got turned into 2x+8.

The distributive property does this:

2 times x plus 2 times 4.

2 times x = 2x

2 times 4 = 8.

So the answer is 2x+8.

C) Distributive property is right.

HELPP!!!!! ASAPPP!!!!!!
Sam is collecting pennies. On the first day of the month, Sam is given 10 pennies. Each day after than he gets 2 more pennies. Which of the following equations defines how many pennies he has after the nth day?
an = 2n + 10
an = 10n + 2
an = 20n – 20
an = 10n - 2

Answers

Answer:

4n plus 16

Step-by-step explanation:

the answer is an = 2n + 10 :)

Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
82.242 miles
822.42 miles
8,224.2 miles
82,242 miles

Answers

Answer:

b) 822.42

Step-by-step explanation:

Just multiply 2.7 by 304.6 and your answer would be 822.42

Answer:

answer is b

Step-by-step explanation:

Someone help please thx in advance

Answers

Here’s the correct answer, how I got it, and something to help you for next time :)

Find the missing side of this triangle ROUND TO THE NEAREST TENTH IF NEEDED!! PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

B option

Step-by-step explanation:

hypotenuse square = base square+ perpendicular Square

please mark me brainliest and 5 star

Its B I had a problem like that before and i chose B and got it right

A snack mix recipe calls for 1 1/2 cups of dip and 1/3 cup of vegetables. Cole wants to make the same recipe using 1 cup of vegetables. How many cups of dip will cole need.

Answers

Answer:

4 1/2 cups of dip

Step-by-step explanation:

Let required amount be x

Using the ratio to find x:

1 1/2 ÷ x = 1/3 ÷ 1x = 1 1/2 × 3x = 3/2×3 x = 9/2 x = 4 1/2 cups

sin70° sin130° sin170°=1/8​

Answers

Sin 10° Sin 50° sin 70° = 1/8
Now we multiply upper & bottom both side 2/2

then

➡ 1/2 (2sin 10° sin50° 70°)

➡ 1/2 sin10°( 2sin70° sin50°)

we know that
2 sinA sinB = cos (A-B) - cos (A+B)

Then

➡ 1/2 sin 10° ( cos 20° - cos 120°)

➡ 1/2 sin 10° ( cos 20° - cos (90°+30°))

➡ 1/2 sin 10° ( cos 20° +1/2)

➡ 1/2 sin 10° cos 20° +1/4 sin 10°

again we multiply both upper & bottom side 2/2 so

➡ 1/4 ( 2 sin 10° cos 20°). + 1/4 sin 10°

we know that
2 sinA cos B = sin (A+B) - sin (A- B)

➡ 1/4 (sin 30° - sin 10°) + 1/4 sin 10°

➡ 1/4 sin 30° - 1/4 sin 10° + 1/4 sin 10°

we know sin 30° = 1/2

➡ 1/4 × 1/2

➡ = 1/8 hence proved

A box is filled with 6 blue cards, 6 brown cards, and 3 green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?

Answers

Answer:

60% chance of a blue or green card

I LONELY

2x6x0x7-1-5+16x87x9+0-2x67=

Answers

Answer:

12388

Step-by-step explanation:

Used calculator

Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)

Answers

Answer:

the second answer

Step-by-step explanation:

.........

help again
álgebra 1

Answers

Answer:

A (4,6)

ok im going to go through this step by step

4(4)=3(6)-2

16=18-2

16=16 (true solution)

18=3(4)+(6)

18=12+6

18=18 (true solution)

Michael, who really likes to have a bag of chips with his lunch, is comparing chip prices at the store. He can buy a 10-pack of Double Cheese Crisps for $7.80 or a 15-pack of Cheddar Skins for $11.85. Which brand costs less per bag?

Answers

Answer:

10-pack of Double Cheese Crisps cost $7.80 cost less per bag

Step-by-step explanation:

Step one:

given

10-pack of Double Cheese Crisps cost $7.80

15-pack of Cheddar Skins cost $11.85

Required:

The unit cost per bag

Step two:

The unit cost of 10-pack of Double Cheese Crisps cost $7.80 is

7.8/10= $0.78

The unit cost of 15-pack of Cheddar Skins cost $11.85 is

11.85/15= $0.79

Answer:

double cheese crisps

Plz l need the answer, If zero lies between a and d, give one set of possible answers for a, b, c, and d.

Answers

Answer:

a= -1, b=0, c=1, d=10

Step-by-step explanation:

You are given  a.......0.........d

a= -1, b=0, c=1, d=10

Grant spent half of his weekly allowance. Then he earned $5 back by doing the dishes. What is his weekly allowance if he ended with $15?

Answers

Answer:

Grant's weekly allowance is $20.

Step-by-step explanation:

We know that Grant ended with $15. We can say that Grant's weekly allowance is x.

x/2 + 5 = 15

Now to solve:

x/2 + 5 - 5 = 15 - 5 (subtract 5 from both sides to isolate the x/2)

x/2 = 10

x/2 * 2 = 10 * 2 (multiply both sides by 2 to isolate the x)

x = 20

Grant's weekly allowance is $20.

A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?

Answers

Answer:

1792

Step-by-step explanation:

1 day = 112 × 4

        = 448

4 days = 448 × 4

           = 1792

112 times 4= 448


.......

PLEASE HELP!!!
write an equation in slope intercept form for all these below
14.through: (5, 1) slope=3/5
15. through:(2, -4) slope=-1
17. through:(5,-2) and (-5,3)​

Answers

Answer:

14. y= 3/5x-2

15. y= -1x-2

17. -1/2

Step-by-step explanation:

Since you have a point and a slope put it in point-slope form first.

Point-slope form: y-y1=m(x-x1)

Then solve for y.

Then you'll get the slope-intercept form.

For number 17 use the slope-intercept form y=mx+b

rise/run= m= y2-y1/x2-x1

On a test Jenna gets 85% of the questions correct, Linda get 32 out of 40 questions correct, Karl gets 7/8 correct, and julie gets 0.83 of the questions correct. List the students in order from lowest to higest.

Answers

Answer:

Linda, Julie, Jenna, Karl

Step-by-step explanation:

Here, we want to list the students in order from lowest to highest

The key here is to have the scores in the same form, let us say decimals for ease of comparison

Jenna: 85% = 85/100 = 0.85

Linda’s= 32/40 = 80% = 0.8

Karl = 7/8 = 0.875

Julie = 0.83

So from lowest to highest, we have;

Linda, Julie, Jenna, Karl

What does y=kx mean​

Answers

Answer:

k is the slope of the graph.

Step-by-step explanation:

K is the slope of the graph

Please help how do I do this ??

Answers

for 10 here is the answer and for 9 i’ll reply to my comment

Helllpppp meeeee plsssssss

Answers

Answer:

The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]  is true.

Step-by-step explanation:

Given

[tex]\frac{8}{5}<\frac{9}{10}[/tex]

FALSE

Reason: 8/5 or 1.6 is greater than 9/10 or 0.9  

[tex]1>\frac{6}{5}[/tex]

FALSE

Reason: 1 is smaller than 6/5 or (1.1)

[tex]\frac{5}{2}<2\frac{1}{2}[/tex]

converting mixed number to improper fraction

[tex]\frac{5}{2}<\frac{5}{2}[/tex]

FALSE

Reason: 5/2 can not be less than 5/2

[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]

[tex]2<\frac{5}{2}[/tex]

TRUE

Reason: 2 is indeed smaller than 5/2 or 5.2        ∵ 5/2 = 2.5

Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]  is true.

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.​

Answers

Answer:

$177

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

184+38=222

222-45=117

The hanger image below represents a balanced equation.
a
9.1
4
Write an equation to represent the image.

Answers

Answer:

9.1 = a+4

Step-by-step explanation:

The right side has two different values, variable a, constant 4.

The left side has the constant 9.1.

If both sides are equal, then

a + 4 should equal 9.1

Answer:

9.1 = a+4

Step-by-step explanation:

Does anyone know how to do these? I don't understand them at all... :(

Answers

Answer:

For the first 2 questions, you need to find the square roots of those numbers. The  second 2 question, you need to do those problems. Remember that absolute value is always positive. Then, plot those numbers on the coordinate plain.

Edit: plane*

Step-by-step explanation:

pls solve the question attached

Answers

Answer:

The answer is 75.011

add the given values only make sure the decimal points are in the same line

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