Question

What is the zero of p(x) = x^2+6x+9?

(a) -3

(b) -6

(c) -9

(d) -2

I got this question during an interview.

My query is from Zeroes of Polynomial topic in chapter Polynomials of Mathematics – Class 9

Answer 1

Correct option is (a) -3

Easy explanation: If p(x) is any polynomial, then for “a” to be a zero of the polynomial p(x), p(a) = 0.

Therefore, equating p(x) with 0, we get x^2+6x+9=0

(x+3)^2 = 0

x+3 = 0

x = -3

Hence, -3 is the zero of the polynomial x^2+6x+9 because p(-3) = 0.