Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

Answer:

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

Step-by-step 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