Question

Factorise:


1.) 12x2 – 7x + 1
2.) 15x2 – 11x – 12
3.) 49a2 + 70ab + 25b2
4.) 25a2 + 104a + 20
5.) x 2 + 7x + 10
6.) x3 – 125​

Answer 1

(i) 12x2-7x+1

=12x2−4x−3x+1

=4x(3x−1)−1(3x−1)

=(4x−1)(3x−1)

(ii) 2x2+7x+3

=2x2+6x+x+3

=2x(x+3)+1(x+3)

=(2x+1)(x+3)

(iii) 6x2+5x−6

=6x2+9x−4x−6

=3x(2x+3)−2(2x+3)

=(3x−2)(2x+3)

(iv)) 3x2−x−4

=3x2−4x+3x−4

=x(3x−4)+1(3x−4)

=(3x−4)(x+1)

hopes its helps you