The polynomial f(x) is written in factored form:
f(x) = (x − 9)(x + 12)(x − 24)
What are the zeros of the polynomial function?
A. x = −9, x = 9, x = −12, x = 12, x = −24, x = 24
B. x = −9, x = 12, x = −24
C. x = 9, x = −12, x = 24
D. x = 9, x = 12, x = 24

C)

Step-by-step explanation:

f(x) = (x − 9)(x + 12)(x − 24)

If f(x) =0

0 = (x − 9)(x + 12)(x − 24)

then

x-9=0 or x+12=0 or x-24=0

x=9 or x=-12 or x=24

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation: