Question

factor completely. $4x^2 + 3x - 27$

Explanation:

Step1: Find product of a and c

$4 \times (-27) = -108$

Step2: Find two numbers for sum and product

Numbers: $12$ and $-9$ (sum=3, product=-108)

Step3: Split middle term

$4x^2 + 12x - 9x - 27$

Step4: Factor by grouping

$4x(x + 3) - 9(x + 3)$

Step5: Factor out common binomial

$(4x - 9)(x + 3)$

Answer:

$(4x - 9)(x + 3)$