Question

How many zeros does the polynomial x⁴+x³-2x²+x+1 have?
Could anyone solve? ​

Answer 1

Answer:

For finding the remainder, we need to use remainder theorem.

let p(x)=x 3

−2x 2

+x+1

Hence, to find the remainder on dividing by x−1, we need to equate it to 0 and put that value of x in p(x).

⇒x−1=0

⇒x=1

p(1)=1 3

−2×1 2

+1+1

p(1)=1