Question

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

Answer 1

Step-by-step explanation:

Monomial = x^2, 1 term

Binomial = x^2 + x, 2 terms

Trinomial = x^2 + x + 3, three terms

Binomial is more than 3 terms

Let's do a 3rd degree polynomial like:

${x}^{3} + 2x^{2} + 4x + 8$

• 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 it

• For example:

${x}^{2} (x + 2)$

• 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.

$4(x + 2)$

Your new equation is:

$\frac{( {x}^{2} + 4)(x + 2)}{x - 2}$

x^2 + 4 can be factored again down to (x + 2)(x + 2)

YOUR FINAL EQUATION IS:

$\frac{(x + 2)(x + 2)(x + 2)}{x - 2}$