Question

Zeroes of a polynomial can be determined graphically. No. of zeroes of a polynomial is equal to no. of points where the graph of polynomial

(a) intersects y-axis

(b) intersects x-axis

(c) intersects y-axis or intersects x-axis

(d) None of these

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Answer 1

GIVEN :

Zeroes of a polynomial can be determined graphically. Number of zeroes of a polynomial is equal to no. of points.

TO FIND :

Number of zeroes of a polynomial is equal to no. of points where the graph of polynomial.

SOLUTION :

Given that the zeroes of a polynomial can be determined graphically. And also given that number of zeroes of a polynomial is equal to number of points.

Number of zeroes of a polynomial=number of points.

• If the given polynomial its points intersect the x-axis two times then the given polynomial has two zeroes.
• Similarly the number of points intersecting the x-axis is the number of zeroes of the polynomial.

Since Number of zeroes of a polynomial = number of points we have the graph of the polynomial should  intersects x-axis.

Option b)  intersects x-axis is correct.

Answer 2

Answer: (B)intersects x-axis.