Question

We want to find the zeros of this polynomial:

P(x) = 3x (x - 2) (2x - 7)

Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.

Answer 1

x=0 x=2 x=7/2

Explanation:

P(x) = 3x (x - 2) (2x - 7)

Set equal to zero

0 = 3x (x - 2) (2x - 7)

Using the zero product property

3x =0 x-2 =0 2x-7 =0

x=0 x=2 2x=7

x=0 x=2 x=7/2