Is g(x)= (x-2)(x-9)(x-1) the factored form of f(x)=x^3+8x^2-11x-18

We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.

(x - 2)(x - 9)(x - 1)

(x - 2)x^2 - x - 9x + 9

Combine like terms.

(x - 2)x^2 - 10x + 9

FOIL again.

x^3 - 10x^2 + 9x - 2x^2 + 20x - 18

Combine like terms.

x^3 - 12x^2 + 29x - 18

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00