Answer:
[tex]x^{2}+11x+24[/tex]
Step-by-step explanation:
Given:
The polynomial is [tex](x+3)(x+8)[/tex].
We use the FOIL method:
So, we first multiply first terms of each binomial.
⇒ [tex]x\times x=x^{2}[/tex]
Next, we multiply the outer terms.
⇒ [tex]x\times 8=8x[/tex]
Next, we multiply the inner terms.
⇒ [tex]3\times x=3x[/tex]
Lastly, we multiply the last terms.
⇒ [tex]3\times 8=24[/tex]
Now, we add all the products to get the answer.
Therefore,
[tex](x+3)(x+8)=x^{2}+3x+8x+24\\(x+3)(x+8)=x^{2}+11x+24[/tex]
