Question

question
factor completely.
\\(3x^2 - 4x - 15\\)
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

Product: $3 \times (-15) = -45$

Step2: Find two factors of -45

Factors: $5$ and $-9$ (since $5 + (-9) = -4$)

Step3: Split middle term

$3x^2 + 5x - 9x - 15$

Step4: Factor by grouping

$x(3x + 5) - 3(3x + 5)$

Step5: Combine common factors

$(3x + 5)(x - 3)$

Answer:

$(3x + 5)(x - 3)$