Factorize each of the following polynomials.x3 + x2 + x – 14

Q1 of 227 Page 86

Factorize each of the following polynomials.
x³ + x² + x – 14

Given,

x³ + x² + x – 14,

put x = 2

then, 8 + 4 + 2 – 14 = 0

since, this equation is divisible by (x – 2).

according to the question,

x³ + x² + x – 14 = (x – 2)(x² + 3x + 7).

Factorize each of the following polynomials.

x³ – 10x² – x + 10

Factorize each of the following polynomials.

2x³ + 11x² – 7x – 6

Factorize each of the following polynomials.

x³ – 5x² – 2x + 24

Find the greatest common divisor of

7x² yz⁴, 21x² y⁵ z³