Question

Factorise: x*+13x*+32x+20

Answer 1

Solution:

Given polynomial:

= x³ + 13x² + 32x + 20

By splitting the terms, we get:

= x³ + x² + 12x² + 12x + 20x + 20

Taking x² as common, we get:

= x²(x + 1) + 12x² + 12x + 20x + 20

Taking 12x as common, we get:

= x²(x + 1) + 12x(x + 1) + 20x + 20

Taking 20 as common, we get:

= x²(x + 1) + 12x(x + 1) + 20(x + 1)

Taking (x + 1) as common, we get:

= (x + 1)(x² + 12x + 20)

= (x + 1)[x² + 10x + 2x + 20]

= (x + 1)[x(x + 10) + 2(x + 10)]

= (x + 1)(x + 2)(x + 10)

★ Which is our required answer.

Answer:

• Factorisation of x³ + 13x² + 32x + 20 is (x + 1)(x + 2)(x + 10)