Create a 3rd degreepolynomial and divide it by x-2. Show all steps. WILL MARK BRAINLEST!

Step-by-step explanation:Monomial = x^2, 1 termBinomial = x^2 + x, 2 termsTrinomial = x^2 + x + 3, three termsBinomial is more than 3 termsLet's do a 3rd degree polynomial like:[tex] {x}^{3} + 2x^{2} + 4x + 8[/tex]Now let's put parenthesis around (x^3 + 2x^2) and (4x + 8)Let's treat both of these as seperate for now. In the first part, you can see an x^2 can be factored out of itFor example:[tex] {x}^{2} (x + 2)[/tex]As you can see, if you do the distributive property, it equals the original.Now let's factor the second part, the 4x + 8. This can be factored by a 4.[tex]4(x + 2)[/tex]Your new equation is:[tex] \frac{( {x}^{2} + 4)(x + 2)}{x - 2} [/tex]x^2 + 4 can be factored again down to (x + 2)(x + 2)YOUR FINAL EQUATION IS:[tex] \frac{(x + 2)(x + 2)(x + 2)}{x - 2} [/tex]