Question

Question content area top
Part 1
Use the FOIL method to find the following​ product:
left parenthesis 3 x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis
Question content area bottom
Part 1
left parenthesis 3 x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis ​=
  
enter your response here

Answer 1

To find the product \((3x - 5)(x + 6)\) using the FOIL method, we follow these steps:

1. **F**irst: Multiply the first terms in each binomial:
\[
3x \cdot x = 3x^2
\]

2. **O**uter: Multiply the outer terms in the product:
\[
3x \cdot 6 = 18x
\]

3. **I**nner: Multiply the inner terms:
\[
-5 \cdot x = -5x
\]

4. **L**ast: Multiply the last terms in each binomial:
\[
-5 \cdot 6 = -30
\]

Now, we combine all the results:
\[
3x^2 + 18x - 5x - 30
\]

Next, we combine the like terms:
\[
3x^2 + (18x - 5x) - 30 = 3x^2 + 13x - 30
\]

Thus, the final result is:
\[
(3x - 5)(x + 6) = 3x^2 + 13x - 30
\]