Asked by jk

What is the product?

StartFraction 2 a minus 7 Over a EndFraction times StartFraction 3 a squared Over 2 a squared minus 11 a + 14 EndFraction
StartFraction 3 Over a minus 2 EndFraction
StartFraction 3 a Over a minus 2 EndFraction
StartFraction 3 a Over a + 2 EndFraction
StartFraction 3 Over a + 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Factor the quadratic: 2a^2 − 11a + 14 = (2a − 7)(a − 2). Then

(2a − 7)/a * (3a^2)/((2a − 7)(a − 2))
= 3a^2/(a(a − 2))
= 3a/(a − 2).

(Restrictions: a ≠ 0, 2, 7/2.)