How is the distributive property used when finding the product of two polynomials?

For this case we have that by definition, the distributive property establishes that:

If we have two polynomials of the form:

To multiply we apply the definition of distributive property, having that to multiply powers of the same base, the same base is placed and the exponents are added.

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.