Multiply the following (x + 3)(x + 4)
would it be x2 + 7x + 12
correct.
Yes. FOIL works every time
To multiply the given expression (x + 3)(x + 4), you can use the distributive property. Here's how you do it step by step:
1. Start by multiplying the first terms in each bracket: x * x = x^2.
2. Multiply the outer terms: x * 4 = 4x.
3. Multiply the inner terms: 3 * x = 3x.
4. Finally, multiply the last terms: 3 * 4 = 12.
Now, we have four terms: x^2, 4x, 3x, and 12. Combining like terms gives us:
x^2 + 4x + 3x + 12
Simplifying further:
x^2 + 7x + 12
So, you are correct. The product of (x + 3)(x + 4) is x^2 + 7x + 12.