Question

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

Answer 1

8x^2 + 32x + 24

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: (3x + 2)(5x + 6). The outside numbers would be (3x + 2)(5x + 6). The Inside numbers would be (3x + 2)(5x + 6). The last numbers would be (3x + 2)(5x + 6).

Solving Product of Polynomial

• 
  `(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! ♡

Answer 2

8x^2+32x+24

Explanation:

Use the FOIL method:

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

Simplify: 8x^2 + 32x +24