Polynomial x to the third power plus 8 is equal to

x^3 + 8

We can simplify this using the sum of cubes theorem.

(a^3 + b^3) = (a + b)(a^2 - ab + b^2)

We can plug in our values like so:

(x^3 + 8) = (x + 2)(x^2 - 2x + 4)

The simplified form of the given polynomial is;

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1