Question

Factor the polynomial
1. w^2+9w+14
2. x^2-14x+45

Answer 1

1. ( w + 7 ) ( w + 2 )

2. ( x - 9 ) ( x - 5 )

Explanation:

1.

w² + 9w + 14

= w² + 7w + 2w + 14

= w ( w + 7 ) + 2 ( w + 7 )

= ( w + 7 ) ( w + 2 )

Hence, factorised.

2.

x² - 14x + 45

= x² - 5x - 9x + 45

= x ( x - 5 ) - 9 ( x - 5 )

= ( x - 9 ) ( x - 5 )

Hence, factorised.