What is the product of the polynomials below?

A.
B.
C.
D.

Ask by Reeves Byrd. in the United States

Jan 23,2025

Question

What is the product of the polynomials below? $$ (8 x+8)(x+3) $$ A. $$ 8 x^{2}+34 x+64 $$ B. $$ 8 x^{2}+16 x+32 $$ C. $$ 8 x^{2}+32 x+24 $$ D. $$ 8 x^{2}+11 x+16 $$

UpStudy AI · Accepted Answer

To find the product of the polynomials $$ (8x + 8)(x + 3) $$, we can use the distributive property (also known as the FOIL method for binomials):

$$
(8x + 8)(x + 3) = 8x \cdot x + 8x \cdot 3 + 8 \cdot x + 8 \cdot 3
$$

Let's calculate each term:

1. **First terms:** $$ 8x \cdot x = 8x^2 $$
2. **Outer terms:** $$ 8x \cdot 3 = 24x $$
3. **Inner terms:** $$ 8 \cdot x = 8x $$
4. **Last terms:** $$ 8 \cdot 3 = 24 $$

Now, combine all the terms:

$$
8x^2 + 24x + 8x + 24 = 8x^2 + 32x + 24
$$

So, the correct product is:

$$
8x^2 + 32x + 24
$$

**Answer:**  
C. $$ 8 x^{2}+32 x+24 $$
The product of the polynomials $$ (8x + 8)(x + 3) $$ is $$ 8x^2 + 32x + 24 $$.

What is the product of the polynomials below?

A.
B.
C.
D.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions

What is the product of the polynomials below? A. B. C. D.