Find the product. Assume all variable exponents represent whole numbers.
-$$\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)$$
A) $2 x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$
B) $2 x ^ { 4 } + 13 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$
C) $2 x ^ { 4 } + 13 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$
D) $2 x ^ { 4 } + 8 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$

Question

Quizplus · Accepted Answer

The product is found by distributing each term in the first polynomial by each term in the second polynomial and combining like terms.

Find the Product (2x2+5x−4)(x2+4x−4)\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)(2x2+5x−4)(x2+4x−4)

Find the Product $\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)$