Find the product
-$\left(4 x^{3}-x^{2}+4 x-1\right)(2 x+2)$

A) $8 x^{4}+6 x^{3}+6 x^{2}+6 x-2$
B) $8 x^{3}+6 x^{2}+6 x+6$
C) $9 x^{4}-6 x^{3}+5 x^{2}-6 x+2$
D) $7 x^{4}+10 x^{3}+8 x^{2}+8 x-4$

Question

Find the product
-$\left(4 x^{3}-x^{2}+4 x-1\right)(2 x+2)$

A) $8 x^{4}+6 x^{3}+6 x^{2}+6 x-2$
B) $8 x^{3}+6 x^{2}+6 x+6$
C) $9 x^{4}-6 x^{3}+5 x^{2}-6 x+2$
D) $7 x^{4}+10 x^{3}+8 x^{2}+8 x-4$

Quizplus · Accepted Answer

To find the product, distribute each term in the first polynomial by each term in the second polynomial: $(4x^3)(2x) + (4x^3)(2) + (-x^2)(2x) + (-x^2)(2) + (4x)(2x) + (4x)(2) + (-1)(2x) + (-1)(2)$. Simplifying this gives $8x^4 + 8x^3 - 2x^3 - 2x^2 + 8x^2 + 8x - 2x - 2$, which simplifies further to $8x^4 + 6x^3 + 6x^2 + 6x - 2$.

Find the Product - (4x3−x2+4x−1)(2x+2)\left(4 x^{3}-x^{2}+4 x-1\right)(2 x+2)(4x3−x2+4x−1)(2x+2) A) 8x4+6x3+6x2+6x−28 x^{4}+6 x^{3}+6 x^{2}+6 x-28x4+6x3+6x2+6x−2

Find the Product
- $\left(4 x^{3}-x^{2}+4 x-1\right)(2 x+2)$ A) $8 x^{4}+6 x^{3}+6 x^{2}+6 x-2$