Multiply the polynomials by using the distributive property. $$\left( x ^ { 2 } + 6 \right) ( - 7 x - 7 )$$
A) $- 7 x ^ { 3 } - 49 x - 42$
B) $- 7 x ^ { 3 } - 1$
C) $- 7 x ^ { 3 } - 7 x ^ { 2 } - 42 x - 1$
D) $- 7 x ^ { 3 } - 7 x ^ { 2 } - 42 x - 42$

Question

Quizplus · Accepted Answer

To multiply the given polynomials, apply the distributive property (also known as the FOIL method for binomials): $(-7x)(x^2) + (-7x)(6) + (-7)(x^2) + (-7)(6)$, which simplifies to $-7x^3 - 42x - 7x^2 - 42$, or $-7x^3 - 7x^2 - 42x - 42$.

Multiply the Polynomials by Using the Distributive Property (x2+6)(−7x−7)\left( x ^ { 2 } + 6 \right) ( - 7 x - 7 )(x2+6)(−7x−7)

Multiply the Polynomials by Using the Distributive Property $\left( x ^ { 2 } + 6 \right) ( - 7 x - 7 )$