Question

If the zeros of a polynomial are 3 and -5, then they cut the x-axis at ____ and _____ points.

(a) (8, 0) and (-4, 0)

(b) (3, -3) and (-5, 5)

(c) (-3, 0) and (5, 0)

(d) (3, 0) and (-5, 0)

I have been asked this question in homework.

This is a very interesting question from Geometrical Meaning of Zeros of Polynomial in chapter Polynomials of Mathematics – Class 10

Answer 1

Right choice is (d) (3, 0) and (-5, 0)

For explanation: Since, the zeros of the polynomial are 3 and -5.

Therefore, x = 3 and x = -5 and they cut the x-axis so the y-coordinate will be zero.

Hence, the points it cuts the x-axis will be (3, 0) and (-5, 0).