Question

Use the FOIL method to find the product.
(4-5x) (3x^2+4)
First
-
I Answer '_--



Outer
Inner
Last
— — = = —
i Answer,
=== =
• Answer
I Answer i-----!
12x^2
#-15x^3
#-20x
# 16

Answer 1

To find the product of \( (4 - 5x)(3x^2 + 4) \) using the FOIL method, we will follow these steps:

1. **First**: Multiply the first terms from each binomial.
\[
4 \cdot 3x^2 = 12x^2
\]

2. **Outer**: Multiply the outer terms from each binomial.
\[
4 \cdot 4 = 16
\]

3. **Inner**: Multiply the inner terms from each binomial.
\[
-5x \cdot 3x^2 = -15x^3
\]

4. **Last**: Multiply the last terms from each binomial.
\[
-5x \cdot 4 = -20x
\]

Now we combine all these products:
\[
12x^2 + 16 - 15x^3 - 20x
\]

To combine like terms, we can rearrange the expression:
\[
-15x^