Find the product.
-$$\left( 2 x ^ { 3 } - x ^ { 2 } + 4 x - 1 \right) ( 2 x + 3 )$$
A) $4 x ^ { 3 } + 4 x ^ { 2 } + 5 x + 10$
B) $4 x ^ { 4 } + 4 x ^ { 3 } + 5 x ^ { 2 } + 10 x - 3$
C) $5 x ^ { 4 } - 4 x ^ { 3 } + 4 x ^ { 2 } - 10 x + 3$
D) $3 x ^ { 4 } + 8 x ^ { 3 } + 8 x ^ { 2 } + 12 x - 5$

Question

Quizplus · Accepted Answer

To find the product, distribute each term in the first polynomial by each term in the second polynomial: $$(2x^3)(2x) + (2x^3)(3) + (-x^2)(2x) + (-x^2)(3) + (4x)(2x) + (4x)(3) + (-1)(2x) + (-1)(3)$$ Simplifying, we get: $$4x^4 + 6x^3 - 2x^3 - 3x^2 + 8x^2 + 12x - 2x - 3$$ Combining like terms results in: $$4x^4 + 4x^3 + 5x^2 + 10x - 3$$

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

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