Use the FOIL method to find the product. Express the product in descending powers of the variable.
-$( x - 6 ) \left( x ^ { 2 } + 2 \right)$
A) $x ^ { 3 } - 6 x ^ { 2 } + 2 x - 12$
B) $x ^ { 3 } + 2 x ^ { 2 } - 6 x - 12$
C) $- 6 x ^ { 2 } + x - 12$
D) $x ^ { 2 } - 4 x - 12$

Question

Quizplus · Accepted Answer

Using the FOIL method, multiply each term in the first binomial by each term in the second polynomial: $x(x^2) + x(2) - 6(x^2) - 6(2) = x^3 + 2x - 6x^2 - 12$, which simplifies to $x^3 - 6x^2 + 2x - 12$.

Use the FOIL Method to Find the Product (x−6)(x2+2)( x - 6 ) \left( x ^ { 2 } + 2 \right)(x−6)(x2+2)

Use the FOIL Method to Find the Product $( x - 6 ) \left( x ^ { 2 } + 2 \right)$