Question

Factorise each of the following expressions
a) x2 + 5x + 6
d) z2 + 8z + 12

Answer 1

a)x2+5x+6

x2+(3+2)x+6

x2+3x+2x+6

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

(x+3)(x+2)

b)z2+8z+12

z2+(6+2)z+12

z2+6z+2z+12

z(z+6)+2(z+6)

(z+6)(z+2)