Question

Factor this polynomial completely 6x^2+7x-20 please help!

Answer 1

Given the polynomial:

`6x^2+7x-20`

To factor the polynomial completely:

`\begin{gathered} \:6x^2+7x-20\: \\ \Rightarrow6x^2-8x+15x-20 \\ break\text{ the expression into groups,} \\ (6x^2-8x)+(15x-20) \\ factor\text{ out the common terms in each parentheses,} \\ 2x(3x-4)+5(3x-4) \\ \Rightarrow(2x+5)(3x-4) \end{gathered}`

Hence, the polynomial is factored to be

`(2x+5)(3x-4)`