What is the factored form of this expression? 4t2 − 27t + 18

A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)

B. (4t - 3)(t - 6)

Step-by-step explanation:

(4t - 3)(t - 6)

= 4t^2 - 24t - 3t + 18

= 4t^2 - 27t + 18

B

Step-by-step explanation:

Sum = -27

Product = 18*4 = 72

Factors = (-24) ; (-3)     {(-24)*(-3)=72 & (-24) + (-3) = -27}

4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)

                    = 4t(t -6) - 3(t - 6)

                    = (t - 6)(4t - 3)