Question

question
factor completely.
$2x^2 - 17x + 21$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

Product: $2 \times 21 = 42$

Step2: Find factors of 42 summing to -17

Factors: -3 and -14

Step3: Split middle term

$2x^2 - 14x - 3x + 21$

Step4: Factor by grouping

$2x(x - 7) - 3(x - 7)$

Step5: Factor out common binomial

$(2x - 3)(x - 7)$

Answer:

$(2x - 3)(x - 7)$