Question

How can I resolve this problem(2 X2 +3x -35) / (x+5)

Answer 1

We are required to simplify

`\begin{gathered} (2x^2+3x-35)/(x+5) \\ \end{gathered}`

To solve the problem, we need to factorize the numerator first

`\begin{gathered} (2x^2+3x-35)/(x+5)\text{ =}(2x^2+10x-7x-35)/(x+5) \\ \\ =(2x(x+5)-7(x+5))/(x+5) \\ \\ =((x+5)(2x-7))/((x+5)) \\ \\ (x+5)\text{ is a common factor},\text{ divide the numerator and denominator by (x+5)} \\ =2x-7 \end{gathered}`

The answer is 2x - 7