Q:

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

Accepted Solution

A:
Answer:C) x³ -4x² - 24x + 21.Step-by-step 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.