Zeros of a Polynomial

If p(x) is a polynomial then the number ‘a’ will be the zero of the polynomial with p(a) = 0. We can find the zero of the polynomial by equating it to zero.

Example: 1

Given polynomial is p(x) = x – 4

To find the zero of the polynomial we will equate it to zero.

x – 4 = 0

x = 4

p(4) = x – 4 = 4 – 4 = 0

So 4 is the zero of this polynomial.

The root of the polynomial is basically the x-intercept of the polynomial.

If the polynomial has one root, it will intersect the x-axis at one point only and if it has two roots then it will intersect at two points and so on.

Example: 2

Find p (2) for the polynomial p (t) = t2 – t + 1

p (2) = (2)2 – 2 + 1

= 4 – 2 + 1

= 3

Scroll to Top