Question

a) x la a 2-4x-5
b)x la a 2+3x-4
c)x la a 2+5x-6
d)x la a 2-10x-11
e)x la a 2+2x-3
f)x la a 2-x-6
g)x la a 2-5x-14
h)x la a 2-3x-4
i)x la a2+11x-12

Answer 1

a) x²-4x-5= x²+x-5x-5=x(x+1)-5(x+1)=(x+1)(x-5)
b) x²+3x-4= x²+4x-x-4= x(x+4)-(x+4)=(x+4)(x-1)
c)x²+5x-6= x²+6x-x-6= x(x+6)-(x-6)= (x+6)(x-1)
d)x²-10x-11=x²-x-11x -11= x(x-1)-11(x-1)=(x-1)(x-11)
e) x²+2x-3=x²+3x-x-3= x(x+3)-(x+3)= (x+3)(x-1)
f) x²-x-6=x²+2x-3x-6=x(x+2) -3(x+2)=(x+2)(x-3)
g)x²-5x-14=x²+2x-7x-14= x(x+2)-7(x+2)=(x+2)(x-7)
h)x²-3x-4=x²+x-4x-4= x(x+1)-4(x+1)= (x+1)(x-4)
I)x²+11x-12= x²+12x-x-12= x(x+12)-(x+12)=(x+12)(x-1)