Question

factor:
$4x^2 + 7x - 2 = \square$
preview my answers submit answers
you have attempted this problem 0 times.
you have unlimited attempts remaining.
email instructor

Explanation:

Step1: Identify coefficients

Quadratic: $ax^2+bx+c$, so $a=4$, $b=7$, $c=-2$.

Step2: Find product $ac$

$ac=4\times(-2)=-8$.

Step3: Split middle term

Find two numbers: product=-8, sum=7 → 8 and -1. Split $7x=8x-1x$.

Step4: Factor by grouping

$4x^2+8x-1x-2=4x(x+2)-1(x+2)=(4x-1)(x+2)$.

Answer:

$(4x - 1)(x + 2)$