# By Using Factor Theorem in the Following Example, Determine Whether Q ( X ) is a Factor P ( X ) Or Not. - Algebra

Sum

By using factor theorem in the following example, determine whether q ( x ) is a factor p ( x ) or not.

p(x) = 2x^3 - x^2 - 45 ,  q(x) = x - 3

#### Solution

p(x) = 2x^3 - x^2 - 45

Divisor = q(x) = x - 3

∴ p(3) = 2 × (3)3 - (3)2 - 45 = 2 × 27 - 9 - 45 = 54 - 54 = 0

So , by factor theore q(x) = x - 3 is a factor of polynomial p(x) = 2x^3 - x^2 -45.

Concept: Factor Theorem
Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 3 Polynomials
Practice Set 3.5 | Q 9.2 | Page 53