Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(4b - 3)(2b^2 + 3b + 4)$

View step-by-step help

View step-by-step help

Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(4b - 3)(2b^2 + 3b + 4)

Distribute terms: First, we need to distribute each term in the first polynomial $(4b - 3)$ to each term in the second polynomial $(2b^2 + 3b + 4)$ . This is done by multiplying each term in the first polynomial by each term in the second polynomial.
Multiply terms: Multiply $4b$ by each term in the second polynomial: $4b \times 2b^2$ , $4b \times 3b$ , and $4b \times 4$ . This gives us: $8b^3$ , $12b^2$ , and $16b$ .
Combine results: Now, multiply $-3$ by each term in the second polynomial: $-3 \times 2b^2$ , $-3 \times 3b$ , and $-3 \times 4$ . This gives us: $-6b^2$ , $-9b$ , and $-12$ .
Combine like terms: Combine the results from the previous steps to get the full expression: $8b^3 + 12b^2 + 16b - 6b^2 - 9b - 12$ .
Perform subtraction: Now, we need to combine like terms. The like terms are $12b^2$ and $-6b^2$ , as well as $16b$ and $-9b$ . This simplifies to: $8b^3 + (12b^2 - 6b^2) + (16b - 9b) - 12$ .
Perform subtraction: Now, we need to combine like terms. The like terms are $12b^2$ and $-6b^2$ , as well as $16b$ and $-9b$ . This simplifies to: $8b^3 + (12b^2 - 6b^2) + (16b - 9b) - 12$ . Perform the subtraction for the like terms: $8b^3 + 6b^2 + 7b - 12$ .

More problems from Multiply polynomials

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 2 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 1 month ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 2 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 2 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 2 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 2 months ago