Select the product of (6x + 7)(x2 - 2x + 2).

Question

Select the product of (6x + 7)(x2 - 2x + 2).

6x3 - 5x2 - 2x + 14

13x2 - 26x + 26

6x3 - 19x2 - 26x + 14

x2 + 4x + 9

Answer 1

To get the product, you multiply the 6x by each of the terms in the second parenthesis and 7 by each of the terms in the second parenthesis:

 

6x(x² -2x + 2) + 7(x² - 2x + 2)

 

6x³ - 12x² + 12x + 7x² - 14x + 14

 

Combine like terms:

 

6x³ + (-12 + 7)x² + (12 - 14)x + 14

 

6x³ - 5x² - 2x + 14