Question

Factorise the following polynomials ① P2 + 6P + 8 ② q2 – 10q + 21 ③ x2 + 5x – 36 ④ 2t2 – t – 10 l

Answer 1

Explanation:

1. p²+6p+8

=p²+2p+4p+8

=p(p+2)+4(p+2)

=(p+4)(p+2)

2. q²-10q+21

= q²-7q-3q+21

=q(q-7)-3(q-7)

3. x²+5x-36

=x²+9x-4x-36

=x(x+9)-4(x+9)

=(x+9)(x-4)