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Zeroes of a Polynomial

The graph of ...

Question

The graph of a polynomial P(x) is as shown. The number of its zeroes are

A

2

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B

1

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C

0

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D

3

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Solution

The correct option is C
0

Zero of a polynomial is that value of x for which the value of the polynomial becomes zero. The maximum number of zeroes of a polynomial is equal to the degree of the polynomial. The zeroes may be real (equal or unequal) or unreal.
In this question, the graph is not intersecting the x-axis. So, the polynomial has no zeros.

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Q. The graph of a polynomial P(x) is as shown. The number of zeroes is/are

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Q. In Fig. 1, the graph of a polynomial p (x) is shown. The number of zeroes of p (x) is

(a) 4

(b) 1

(c) 2

(d) 3

In the figure, the graph of a polynomial p(x) is shown. The number of zeroes of p(x) is:

Q. Verify that:
(i) 4 is a zero of the polynomial p(x) = x − 4.
(ii) −3 is a zero of the polynomial p(x) = x − 3.
(iii)

- \frac{1}{2}

is a zero of the polynomial p(y) = 2y + 1.
(iv)

\frac{2}{5}

is a zero of the polynomial p(x) = 2 − 5x.
(v) 1 and 2 are the zeros of the polynomial p(x) = (x − 1)(x − 2).
(vi) 0 and 3 are the zeros of the polynomial p(x) = x² − 3x.
(vii) 2 and −3 are the zeros of the polynomial p(x) = x² + x − 6.

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