Question

Which of the following shows the best way to set up the product of (5x-2) and (4-3x+ 8x^3)?

Answer 1

Given

The polynomials,

$(5x-2)\text{ }and\text{ }(4-3x+8x^3)$

To find:

The product.

Explanation:

It is given that,

$(5x-2)\text{ }and\text{ }(4-3x+8x^3)$

That implies,

$\begin{gathered} (5x-2)(4-3x+8x^3) \\ =5x(4-3x+8x^3)-2(4-3x+8x^3) \\ =20x-15x^2+40x^4-8+6x-16x^3 \\ =40x^4-16x^3-15x^2+26x-8 \end{gathered}$

Hence, the answer is,