Question

Let P(x) = x2 – 4x + 3 , find the value of P(2) – P(-1) + P(1 2 )​

Answer 1

Answer

Let p(x)=x

2

−4x+3

p(0)=0

2

−4(0)+3=0+0+3=3

p(1)=1

2

−4(1)+3=1−4+3=0

p(2)=2

2

−4(2)+3=4−8+3=−1

p(3)=3

2

−4(3)+3=9−12+3=0

We observe that P(1) and p(3) are zeroes of the polynomial.