Question

Multiply the polynomials.

(x – 7)(x2 + 3x – 3)
A. x3 – 4x2 – 3x + 21
B. x3 – 7x2 – 24x + 21
C. x3 – 4x2 – 24x + 21
D. x3 – 7x2 – 3x + 21

Answer 1

x³ -4x² - 24x + 21.

Explanation:

Ape-x

Answer 2

C) x³ -4x² - 24x + 21.

Explanation:

Given : (x – 7)(x² + 3x – 3).

To find : Multiply the polynomials.

Solution : We have given (x – 7)(x² + 3x – 3).

Distributes x over (x² + 3x – 3) and -7 over (x² + 3x – 3).

Then

x (x² + 3x – 3) -7(x² + 3x – 3).

x³ + 3x² -3x - 7x² - 21x +21.

Combine like terms

x³ + 3x² - 7x² -3x -21x + 21.

x³ -4x² - 24x + 21.

Therefore, C) x³ -4x² - 24x + 21.