Answer:
[tex]3x^2+23x-36[/tex]
Step-by-step explanation:
The foil method is used when multiplying 2 binomials. One is (x+9) and another is (3x-4). The steps of FOIL are:
- Multiply the first terms
- Multiply the outer terms
- Multiply the inner terms
- Multiply the last terms
- Combine like terms
Let's do the steps on our problem:
1. multiply x and 3x. So we have x * 3x = 3x^2
2. multiply x and -4. So we have x * -4 = -4x
3. Multiply 9 and 3x. So we have 27x
4. Multiply 9 and -4. So we have -36
Listing the terms, we have: 3x^2 -4x + 27x - 36
We combine like terms and have: 3x^2 + 23x - 36
That's our answer.
