Question

4/20
factor each expression
3d²-13d+12
be your answer...

Explanation:

Step1: Multiply leading and constant terms

$3 \times 12 = 36$

Step2: Find pair summing to -13

Factors of 36: $-9$ and $-4$ (since $-9 + (-4) = -13$)

Step3: Split middle term

$3d^2 - 9d - 4d + 12$

Step4: Factor by grouping

$3d(d - 3) - 4(d - 3)$

Step5: Extract common binomial

$(3d - 4)(d - 3)$

Answer:

$(3d - 4)(d - 3)$