Question

Factorise the following expressions
1. Factorise the following expressions
(a) x2 + 9x + 14 (b) x2 - 15x + 56
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Answer 1

Answer:

(a)x²+9x+14=0

x²+7x+2x+14=0

(x²+7x)+(2x+14)=0

x(x+7)+2(x+7)=0

(x+7)(x+2)=0

(x+7=0)(x+2=0)

x=(-7), x=(-2)

(b)x²-15x+56=0

x²-8x-7x+56=0

(x²-8x)-(7x+56)=0

x(x-8)-7(x-8)=0

(x-8)(x-7)=0

(x-8=0)(x-7=0)

x=8 and x=7

Answer 2

Answer:

I hope it will help you

1.(a) x2+9x+14

= x2+7x+2x+14

= (x2+7x)+(2x+14)

=x(x+7)+2(x+7)

=(x+7)(x+2)

(b) x2-15x+56

=x2-(8+7)x+56

=x2-8x-7x+56

=(x2-8x)-(7x+56)

=x(x-8)-7(x-8)

=(x-8)(x-7)