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What is the zero of p(x) = x^2+6x+9?(a) -3(b) -6(c) -9(d) -2I got this question during an interview.My query is from Zeroes of Polynomial topic in chapter Polynomials of Mathematics – Class 9

Answer»

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.



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