Question

Show that 1 is a zero of the polynomial p(x) = x³

− 6x² +11x −6​

Answer 1

Answer:

p(x)=x

3

−6x

2

+11x−6

p(x)=(x−3)(x

2

−3x+2)

p(x)=(x−3)(x

2

−2x−x+2)

p(x)=(x−3)(x−1)(x−2)

(x−1)(x−2)(x−3)=0

x=1,2,3