a) x2+7x+12=x2+4x+3x+12=x(x+4)+3(x+4)=(x+3)(x+4)
a) x^2 + 7x + 12
= x^2 + 3x + 4x + 12
= x (x + 3) + 4 (x + 3)
= (x + 3)(x + 4)
b) x^2 + 2x - 8
= x^2 - 2x + 4x - 8
= x (x - 2) + 4 (x - 2)
= (x - 2)(x + 4)
c) x^2 + 11x + 30
= x^2 + 5x + 6x + 30
= x (x + 5) + 6 (x + 5)
= (x + 5)(x + 6)
b) x2+2x-8=x2+2x+1-1-8=(x2+2x+1)-9=(x+1)2-32
=(x+1-3)(x+1+3)=(x-2)(x+4)