Question

Factor 5x2 – 2x + 5x – 2 by grouping.Question 17 options:A) (x + 1)(5x – 2)B) (x – 2)(5x + 1)C) (x – 1)(5x + 2)D) (x + 2)(5x – 1)

Answer 1

Given:

$5x^2-2x+5x-2=0$

Find: the factor of the given expression.

Explanation:

$\begin{gathered} 5x^2-2x+5x-2=0 \\ 5x^2+3x-2=0 \\ 5x^2+(5-2)x-2=0 \\ 5x^2+5x-2x-2=0 \\ 5x(x+1)-2(x+1)=0 \\ (x+1)(5x-2)=0 \end{gathered}$

final naswer: thr required answer is (x+1)(5x-2)