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

(4t - 3) (t - 6)

Step-by-step explanation:

Using AC method:

Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.

Here, a = 4, b = - 27, and c = 18.

ac = 4 * 18 = 72

Factors of 72 that add up to - 27: - 3 and - 24

Divide factors by a: - 3/4 and - 24/4

Reduce: - 3/4 and - 6/1

So the factored expression is:

(4t - 3) (t - 6)