Question

factor completely. $5x^2 - 14x + 9$

Explanation:

Step1: Find product of a and c

$a=5, c=9$, so $5×9=45$

Step2: Find factors of 45 summing to -14

Factors: -5 and -9 (since $-5 + (-9) = -14$)

Step3: Split middle term

$5x^2 -5x -9x +9$

Step4: Factor by grouping

$5x(x -1) -9(x -1)$

Step5: Factor out common binomial

$(5x -9)(x -1)$

Answer:

$(5x - 9)(x - 1)$