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Multiply the polynomials.

(x – 5)(x2 + 4x – 2)


A.
x3 – x2 – 20x + 10

B.
x3 – x2 – 22x + 10

C.
x3 + 4x2 – 22x + 10

D.
x3 + 4x2 – 20x + 10

Multiply the polynomials x 5x2 4x 2 A x3 x2 20x 10 B x3 x2 22x 10 C x3 4x2 22x 10 D x3 4x2 20x 10 class=

Respuesta :

razorsharptip

Answer: B

Step-by-step explanation:

(x-5)(x^2 + 4x - 2).

Distribute the x and -5 with the x^2, 4x and -2:

x^3 + 4x^2 -2x -5x^2 -20x + 10

Add like terms:

x^3 - x^2 - 22x + 10

B is the answer.

Eduard22sly

When we multiply (x – 5) and (x² + 4x – 2), the result obtained is

x³ – x² – 22x + 10 (Option B)

Data obtained from the question

  • (x – 5)
  • (x² + 4x – 2)
  • Product =?

How to determine the product

The product of (x – 5) and (x² + 4x – 2) can be obtained as follow:

(x – 5)(x² + 4x – 2)

x(x² + 4x – 2) – 5(x² + 4x – 2)

Clear the bracket

x³ + 4x² – 2x – 5x² – 20x + 10

Collect like terms

x³ + 4x² – 5x² – 2x – 20x + 10

x³ – x² – 22x + 10

The correct answer to the question is Option B. x³ – x² – 22x + 10

Learn more about polynomial:

https://brainly.com/question/16965629

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