Q3 of 86 Page 56

Factorise the following using appropriate identities.
x² + 5x + 6

Given is quadratic equation which can be factorised by splitting the middle term as shown

⇒ x² + 5x + 6 = x² + 3x + 2x + 6

= x (x + 3) + 2 (x + 3)

= (x + 3) (x + 2)

Therefore x² + 5x + 6 = (x + 3) (x + 2)

Factorise the following using appropriate identities.

18a² – 50

Factorise the following using appropriate identities.

3p² - 24p + 36

Expand each of the following, using suitable identities

(x + 2y + 4z)²

Questions · 86

2. Polynomials and Factorisation

1 2 3 4 5 6 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 1 1 1 1 1 2 3 4 5 6 7 8 9 1 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5

Factorise the following using appropriate identities.x2 + 5x + 6