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zhenek [66]
2 years ago
10

What is the product of the polynomial below? (8x+8)(x+3)

Mathematics
2 answers:
dimulka [17.4K]2 years ago
7 0

Answer:

8x^2+32x+24

Step-by-step explanation:

Use the FOIL method:

(8x+8)(x+3) = 8x^2 +24x +8x +24

Simplify: 8x^2 + 32x +24

rewona [7]2 years ago
3 0

Answer:

8x^2 + 32x + 24

Step-by-step explanation:

What's the FOIL method?

  • For this question, we're going to use something called the FOIL method. First, let's take random polynomials and multiply them together, such as (3x + 2)(5x + 6). FOIL stands for First, Outside, Inside Last. The first numbers would be: (<u>3x</u> + 2)(<u>5x</u> + 6). The outside numbers would be (<u>3x</u> + 2)(5x + <u>6</u>). The Inside numbers would be (3x + <u>2</u>)(<u>5x</u> + 6). The last numbers would be (3x + <u>2</u>)(5x + <u>6</u>).

<u>Solving Product of Polynomial</u>

  • <u></u>(8x)(x) + (8x)(3) + (8)(x) + (8)(3)
  • 8x^2 + 24x + 8x + 24
  • 8x^2 + 32x + 24

Therefore, the answer is 8x^2 + 32x + 24.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Step-by-step explanation:

x+8=±√

​86

​

​​

2 Break down the problem into these 2 equations.

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​86

​

​​

x+8=-\sqrt{86}x+8=−√

​86

​

​​

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

​86

​

​​ .

x=\sqrt{86}-8x=√

​86

​

​​ −8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

​86

​

​​ .

x=-\sqrt{86}-8x=−√

​86

​

​​ −8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

​86

​

​​ −8,−√

​86

​

​​ −8

x

​2

​​ +16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

​2

​

​−16+2√

​86

​

​​

​​ ,

​2

​

​−16−2√

​86

​

​​

​​

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

​86

​

​​ ,−8−√

​86

​

​​

6 0
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