The polynomial (x - 1) * 2 is a factor of the polynomial ax3 + bx2 + 1. find a and

b. justify your answer.

Question

Mathematics

Jace Beck

14 October, 23:28

The polynomial (x - 1) * 2 is a factor of the polynomial ax3 + bx2 + 1. find a and

b. justify your answer.

+4

Answers (1)

Know the Answer?

Nico Combs · Answer 1

If (x-1) is a factor then P (1) = a (1) ^3 + b (1) ^2 + 1 = 0 (by the factor theorem)

so a + b = - 1

Also (x - 1) ^2 = x^2 - 2x + 1

so a = 1 and b = - 2 Answer

The polynomial (x - 1) * 2 is a factor of the polynomial ax3 + bx2 + 1. find a andb. justify your answer.

The polynomial (x - 1) * 2 is a factor of the polynomial ax3 + bx2 + 1. find a and

b. justify your answer.