Question

What is the product of the polynomials below?
(8x + 8)(x+ 3)
08x2+34x+64
08x2+16x+32
08x2+32x+24
08x2+11x+16

Answer 1

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) to multiply the two expressions.

Starting with:

\[
(8x + 8)(x + 3)
\]

We distribute each term in the first polynomial by each term in the second polynomial:

1. Multiply \(8x\) by \(x\):
\[
8x \cdot x = 8x^2
\]

2. Multiply \(8x\) by \(3\):
\[
8x \cdot 3 = 24x
\]

3. Multiply \(8\) by \(x\):
\[
8 \cdot x = 8x
\]

4. Multiply \(8\) by \(3\):
\[
8 \cdot 3 = 24
\]

Now, we combine all these results:
\[
8x^2 + 24x + 8x + 24
\]

Combine the like terms \(24x\) and \(8x\):
\[
8x^2 + (24x + 8x) + 24 = 8x^2 + 32x + 24
\]

Thus, the product of the polynomials \((8x + 8)(x + 3)\) is:

\[
\boxed{8x^2 + 32x + 24}
\]