Question

fst - niksa
name
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factoring in the form $ax^2+bx+c$
factor each completely.

1. $5x^2 + 38x - 16$

2)

Explanation:

Step1: Multiply a and c

$5 \times (-16) = -80$

Step2: Find factors of -80 that sum to 38

The factors are $40$ and $-2$, since $40 + (-2) = 38$ and $40 \times (-2) = -80$.

Step3: Split the middle term

$5x^2 + 40x - 2x - 16$

Step4: Factor by grouping

$5x(x + 8) - 2(x + 8)$

Step5: Factor out common binomial

$(5x - 2)(x + 8)$

Answer:

$(5x - 2)(x + 8)$