Question

Show that (2x-1) is a factor of the polynomial f(x) =8x³-8x²+1

Answer 1

zero of 2x-1 = 0
2x=1
x=1/2
putting value of x in f(x)
=8x^3 - 8x^2 +1
=8(1/8) - 8(1/4) +1
= 1 - 2+1
= -2+2
= 0
hence it is a factor of polynomial