Question

Find the zeros of the polynomial function f(x)= x(4x-3)(3x+2)
Please show work thank you

Answer 1

x=0 x = 3/4 x = -2/3

Explanation:

f(x)= x(4x-3)(3x+2)

We can find the zero's by setting the function equal to zero

0 = x(4x-3)(3x+2)

Using the zero product property

x =0 4x-3 =0 3x+2 =0

x=0 4x-3+3 =0+3 3x+2-2 = 0-2

x=0 4x=3 3x = -2

x=0 x = 3/4 x = -2/3

Answer 2

x = -2/3, 0, 3/4

Explanation:

The zeros of the polynomial are the solutions or roots or x-intercepts of the function. To find them, use the zero product property to solve for x. Use the property by setting each factor equal to 0.

x = 0 4x-3=0 3x+2 = 0

x = 3/4 x = -2/3