Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $4v^2(-3v^2 + 7)$

View step-by-step help

View step-by-step help

Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

4v^2(-3v^2 + 7)

Distribute $4v^2$ : Distribute $4v^2$ to both terms inside the parentheses. $\newline$ $4v^2(-3v^2 + 7) = 4v^2 \times (-3v^2) + 4v^2 \times 7$
Simplify $-3v^2$ : Simplify $4v^2 \times (-3v^2)$ . $4v^2 \times (-3v^2) = -12v^{(2+2)} = -12v^4$
Simplify $4v^2 \times 7$ : Simplify $4v^2 \times 7$ . $4v^2 \times 7 = 28v^2$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-12v^4 + 28v^2$

More problems from Multiply a polynomial by a monomial

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