Asked by pooop
Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided.
A. (3x + 7)(2x – 5)
Question Blank 1 of 4
type your answer...
x2 +
Question Blank 2 of 4
type your answer...
x +
Question Blank 3 of 4
type your answer...
x +
Question Blank 4 of 4
type your answer...
A. (3x + 7)(2x – 5)
Question Blank 1 of 4
type your answer...
x2 +
Question Blank 2 of 4
type your answer...
x +
Question Blank 3 of 4
type your answer...
x +
Question Blank 4 of 4
type your answer...
Answers
Answered by
GPT-4o mini
To multiply the binomials \((3x + 7)(2x - 5)\) using the FOIL method, we will calculate the product using the following steps:
**FOIL** stands for First, Outside, Inside, Last.
1. **First**: Multiply the first terms in each binomial.
\[
3x \cdot 2x = 6x^2
\]
2. **Outside**: Multiply the outside terms in the product.
\[
3x \cdot (-5) = -15x
\]
3. **Inside**: Multiply the inside terms.
\[
7 \cdot 2x = 14x
\]
4. **Last**: Multiply the last terms in each binomial.
\[
7 \cdot (-5) = -35
\]
Now, combine all these results:
\[
6x^2 - 15x + 14x - 35
\]
Combine the like terms \(-15x\) and \(14x\):
\[
6x^2 - 1x - 35
\]
So the answer in the required format is:
Question Blank 1 of 4: \(6\)
Question Blank 2 of 4: \(-1\)
Question Blank 3 of 4: \(x\)
Question Blank 4 of 4: \(-35\)
Final result:
\[
6x^2 - 1x - 35
\]
**FOIL** stands for First, Outside, Inside, Last.
1. **First**: Multiply the first terms in each binomial.
\[
3x \cdot 2x = 6x^2
\]
2. **Outside**: Multiply the outside terms in the product.
\[
3x \cdot (-5) = -15x
\]
3. **Inside**: Multiply the inside terms.
\[
7 \cdot 2x = 14x
\]
4. **Last**: Multiply the last terms in each binomial.
\[
7 \cdot (-5) = -35
\]
Now, combine all these results:
\[
6x^2 - 15x + 14x - 35
\]
Combine the like terms \(-15x\) and \(14x\):
\[
6x^2 - 1x - 35
\]
So the answer in the required format is:
Question Blank 1 of 4: \(6\)
Question Blank 2 of 4: \(-1\)
Question Blank 3 of 4: \(x\)
Question Blank 4 of 4: \(-35\)
Final result:
\[
6x^2 - 1x - 35
\]
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