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:
[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 it
[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]
