Question

23 question please................

Answer 1

For each trinomial p(x) as options in the question, check whether p(3) = 0 or not. If not, then that trinomial will be the answer.

p(3) is considered not to be 0 because a polynomial when divided by (x - a) leaves the remainder p(a).

Consider the first option, i.e., p(x) = 2x² - x - 15.

p(3) = 2(3)² - 3 - 15 = 0

So option (A) is not the answer.

Consider p(x) = 3x² - 13x + 12.

p(3) = 3(3)² - 13(3) + 12 = 0.

So option (B) is not.

Consider p(x) = 2x² - 8x + 6.

p(3) = 2(3)² - 8(3) + 6 = 0.

So option (C) is not.

All the first three are checked but they're not. Hence option (D) is the answer. Let's see!

p(x) = 2x² - 7x - 3

p(3) = 2(3)² - 7(3) - 3 = - 6 ≠ 0.