Question

19. If the points (5, 0), (0, -2) and (3, 6) lie on the graph of a polynomial, then, which of the following is a zero of the polynomial?​

Answer 1

Answer:

5 is the zero

Answer 2

Step-by-step explanation:

Given: The points (5, 0), (0, -2) and (3, 6) lie on the graph of a polynomial.

To find: Which of the following is a zero of the polynomial?

Solution:

We know that zeroes of a polynomial exist at intersections of polynomial with x-axis.

So,

The point which lies on the x-axis must be the zero or we can say that x-intercept/s is/are the zero/es of polynomial.

Here,

Point (3,6) lies in the first quadrant, so it can't be zero.

Points (5,0) and (0,-2) are lies on axes.

Point lies on x-axis, have y- coordinate zero.

Thus,

(5,0) lies on x-axis, Thus

$x = 5$

is the zero of the polynomial.

Final answer:

One zero of polynomial is at $\bf x = 5$

Hope it will help you.

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