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In this section, we will discuss Factorization of Cubic Polynomial.The degree of the cubic (highest exponent) polynomial is 3.

There are different identities in Factorization of Cubic Polynomial .

They are as follows :

= (a + b + c)(a

Examples :

1)27x

As first term and the 2nd term are perfect cube, we use the identity of cube

(a^{3} - b^{3}) = ( a - b)(a^{2} +ab + b^{2}) |

a = 3x and b = 2

27x

= (3x -2)(9x

________________________________________________________________

2) 8x

As first term and the 2nd term are perfect cube, we use the identity of cube

(a^{3} + b^{3}) = ( a + b)(a^{2} -ab + b^{2}) |

a = 2x and b = 1

8x

= (2x +1 )(4x

________________________________________________________________

3) 27x

As in the given equation there are two perfect cubes, so we can use 1st identity.

27x

= (3x)

= (3x + y)

_______________________________________________________________

4) (1.5)

(1.5)

Let a = 1.5, b = - 0.9 and c = -0.6

As a + b + c = 1.5 + 0.9 - 0.6 = 0

a

= 3(1.5)(- 0.9)(-0.6)

= 2.430

• Factorization by common factor

• Factorization by Grouping

• Factorization using Identities

• Factorization of Cubic Polynomial

• Solved Examples on Factorization

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