Determine the following polynomials has x - 2 a factor : 4x² + x - 2

Solution:

Given, the polynomial is p(x) = 4x² + x - 2

We have to determine if x - 2 is a factor of p(x).

Given, g(x) = x - 2

Let g(x) = 0

x - 2 = 0

x = 2

Substitute x = 2 in p(x),

p(2) = 4(2)² + (2) - 2

= 4(4) + 2 - 2

= 16

p(2) = 16

Since p(x) is not equal to 0 when x = 2, x - 2 is not a factor of p(x)

Therefore, x-2 is not a factor of 4x² + x - 2.

✦ Try This: Determine the following polynomials has x + 2 a factor : x² + x - 24

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 17(ii)

Determine the following polynomials has x - 2 a factor : 4x² + x - 2

Summary:

x - 2 is not a factor of the polynomial 4x² + x - 2 as p(x) is not equal 0 when x = 2

☛ Related Questions:

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