Question

question
factor completely.
$5x^2 - 7x + 2$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

Product of $5$ and $2$ is $10$.

Step2: Find factors of 10

Find two numbers: product=10, sum=-7. They are -5 and -2.

Step3: Split middle term

$5x^2 -5x -2x +2$

Step4: Factor by grouping

$5x(x -1) -2(x -1) = (5x -2)(x -1)$

Answer:

$(5x - 2)(x - 1)$