Question

Verify whether the following are zeroes of the polynomial, indicated against them.

(i) p(x) = 3x + 1, x = -1/3

(ii) p(x) = 5x - π, x = 4/5

Answer 1

(i) If x = -1/3 is a zero a zero of given polynomial p(x) = 3x + 1, then p(-1/3) should be 0.

Here, p(-1/3) = 3(-1/3) + 1

= -1 + 1 = 0

Therefore,x = -1/3 is a zero of the given polynomial.

(ii) If x = 4/5 is a zero of polynomial p(x) = 5x − π , then p(4/5) should be 0.

Here,p(4/5) = 5(4/5) - π

= 4 - π

As p(4/5) ≠ 0.

Therefore, x = 4/5 is not a zero of the given polynomial.