Question

factor completely. $5x^2 - 3x - 14$

Explanation:

Step1: Find product of a and c

$a=5, c=-14$, so $5×(-14)=-70$

Step2: Find factors of -70 summing to b

Factors: 7 and -10 (since $7+(-10)=-3$)

Step3: Split middle term

$5x^2 +7x -10x -14$

Step4: Factor by grouping

$x(5x +7) -2(5x +7)$

Step5: Factor out common binomial

$(5x +7)(x -2)$

Answer:

$(5x + 7)(x - 2)$