# Mathematics Questions and Answers – Zeroes of Polynomial

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Zeroes of Polynomial”.

1. If p(x) = 4x2+7x-8, then the value of p(2) is __________
a) 20
b) 18
c) 22
d) 14

Explanation: If p(x) is any polynomial, then p(a) means substituting x by a in a polynomial.
Therefore, p(2) means, putting 2 in place of x in 4x2+7x-8.
Hence, p(2) = 4(2)2+7(2)-8 = 4(4) + 14 – 8
= 16 + 14 – 8
= 22.

2. What is the zero of p(x) = x2+6x+9?
a) -3
b) -6
c) -9
d) -2

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 x2+6x+9=0
(x+3)2 = 0
x+3 = 0
x = -3
Hence, -3 is the zero of the polynomial x2+6x+9 because p(-3) = 0.

3. $$\frac{(5x^3 + 2x^2 + x)}{x}$$ = __________
a) 5x3 + 2x2 + 1
b) 5x4 + 2x3 + x
c) 5x2 + 2x2 + x
d) 5x2 + 2x + 1

Explanation: $$\frac{(5x^3 + 2x^2 + x)}{x} = \frac{5x^3}{x} + \frac{2x^2}{x} + \frac{x}{x}$$
= 5x2 + 2x + 1.
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