MATHEMATICS MIDDLE SCHOOL

If x-2 is a factor of x^2 - bx + b, where b is a constant, what is the value of b?

Answers

Answer 1

Answer:

The value of b that makes x-2 a factor of x² - bx + b is 4.

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

The factor theorem states that; when f(k) = 0, then (x – k) is a factor of f(x).

Given that x-2 is a factor of x² - bx + b, hence:

f(2) = 2² - b(2) + b = 0

4 - 2b + b = 0

b = 4

Therefore the value of b that makes x-2 a factor of x² - bx + b is 4.

Find out more at: brainly.com/question/2449381

Answer 2

Answer:

we have that

$x^2 - bx + b$

we know that

If $(x-2)$ is a factor of $x^2 - bx + b$

then

for $x=2$

$x^2 - bx + b$ is equal to zero

$2^2 - b*2 + b=0$

$4 - 2b + b=0$

$b=4$

therefore

the answer is

the value of b is equal to $4$

Related Questions

Today, Noah swam 1 mile at swim practice and Liam sprinted 880 yards at track practice. How many more yards did Noah travel during exercise?
0.126 rounded to the nearest hundreath =
What is the difference between complementary and supplementary angles
Help please4.(1 pt) Which number line shows the given inequality? t < –1.43.(1 pt) Which number line shows the given inequality? m < 7.5
At the movies Liz eats 1/4 of a box of popcorn her friend kyra eats two times as much popcorn as Liz eats how much of a box of popcorn does kyra eat

Translate the phrase into an algebraic expression. 3 more than h h−3 3×h 3÷h h+3

Answers

3 MORE than h
"more" indicated addition.

Find the constant of variation for the relationship shown in the following table:x 1 2 3 4
y 5 10 15 20

A.1

B.2

C.3

D.5

Answers

The answer is B
because if you cross multiply 1/5 with 2/10 you get 2

Which of the following is equivalent to the expression

Answers

Answer:

i Choice A

Step-by-step explanation:

i ^ 41

we use the rule of 4 for powers of i

if you get remainder of 0 = 1

if you get remainder of 1 = i

if you get remainder of 2= -1

if you get remainder of 1 = -i

41/4 = 10 remainder 1

so i^41 = i

a geologist had two rocks on a scale that weighed 2 1/2 pounds together rock A weighed a total of 1/7 of the weight how much did rock A weigh

Answers

Answer:

Let A and B be the two rocks.

As per the statement: a geologist had two rocks on a scale that weighed 2 1/2 pounds together rock

⇒Total weight of rock ( $A+B$ ) = $2(1)/(2)$ pounds

$A+B= (5)/(2)$

Also, it is given A weighed a total of $(1)/(7)$ of the weight.

⇒ $A = (1)/(7) * (\text{Total weight})$

then;

$A = (1)/(7) * (5)/(2) = (5)/(14)$

Therefore, $(5)/(14)$ pounds did rock A weight.

It is already given in the question that the combined weight of two rocks is 2 /1/2 pounds. The weight of rock A is also known and it is 1/7 of the total weight of the two rocks. This is enough to find the desired solution.
Now
Total weight of the two rocks = 2 1/2 pounds
   = 5/2 pounds
Then
Weight of Rock A = (5/2)/(1/7) pounds
   = (5 * 7)/2 pounds
   = 35/2 pounds
   17 1/2 pounds
So Rock A weighs 17 1/2 pounds. This is the weight of Rock A and it is only required for this question. If you are eager to find the weight of rock B then you have to subtract the weight of Rock A form the total weight of the two rocks.

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi. The distances, measured in centimeters between cities on Allyson’s map are proportional to the real distances.Which of the following could be the the distances on Allyson’s map?

Choose 3 answers

Bangalore to Mumbai: 116.5 cm
Mumbai to Delhi: 174 cm

Bangalore to Mumbai: 42.25
Mumbai to Delhi: 58 cm

Bangalore to Mumbai: 23.4 cm
Mumbai to Delhi: 29 cm

Bangalore to Mumbai: 16.9 cm
Mumbai to Delhi: 23.2 cm

Bangalore to Mumbai: 25.35 cm
Mumbai to Delhi: 34.8cm

Answers

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi, then the ratio between these distances is

$(845)/(1160)=(169)/(232).$

A. Bangalore to Mumbai: 116.5 cm;

Mumbai to Delhi: 174 cm

The ratio:

$(116.5)/(174)=(233)/(348)\neq (169)/(232)$

This option is false.

B. Bangalore to Mumbai: 42.25

Mumbai to Delhi: 58 cm

The ratio is

$(42.25)/(58)=(845)/(1160)=(169)/(232)$

This option is true.

C. Bangalore to Mumbai: 23.4 cm

Mumbai to Delhi: 29 cm

The ratio is

$(23.4)/(29)=(117)/(145)\neq (169)/(232)$

This option is false.

D. Bangalore to Mumbai: 16.9 cm

Mumbai to Delhi: 23.2 cm

The ratio is

$(16.9)/(23.2)=(169)/(232)$

This option is true.

E. Bangalore to Mumbai: 25.35 cm

Mumbai to Delhi: 34.8cm

The ratio is

$(25.35)/(34.8)=(507)/(696)=(169)/(232)$

This option is true.

Answer: correct options are B, D and E

Answer:

Step-by-step explanation:

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi, then the ratio between these distances is

A. Bangalore to Mumbai: 116.5 cm;

Mumbai to Delhi: 174 cm

The ratio:

This option is false.

B. Bangalore to Mumbai: 42.25

Mumbai to Delhi: 58 cm

The ratio is

This option is true.

C. Bangalore to Mumbai: 23.4 cm

Mumbai to Delhi: 29 cm

The ratio is

This option is false.

D. Bangalore to Mumbai: 16.9 cm

Mumbai to Delhi: 23.2 cm

The ratio is

This option is true.

E. Bangalore to Mumbai: 25.35 cm

Mumbai to Delhi: 34.8cm

The ratio is

This option is true.

Answer: correct options are B, D and E

Does it matter term is first and which term is second in a ratio?

Answers

No because it is the same but in a different way

Other Questions

How many times does 6 go into 50

An aquarium with the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 4.6 meters high. What is the volume rounded to the nearest cubic meter.

What are the square roots of 144 over 256 ?A.minus 12 over 16 and 12 over 16B.minus 12 over 18 and 12 over 18C.minus 9 over 16 and 9 over 16D.minus 72 over 128 and 72 over 128

20. A rectangular park is 600 m long and 300 mwide. You walk diagonally across the parkfrom corner to corner. How far do youwalk, to the nearest meter?Measurement