Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(-24a^3 + 16a^2) \div 4a$

View step-by-step help

View step-by-step help

Divide polynomials by monomials

Full solution

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

\newline

(-24a^3 + 16a^2) \div 4a

Divide $-24a^3$ by $4a$ : We have the expression $(-24a^3 + 16a^2) \div 4a$ . To divide a polynomial by a monomial, we divide each term of the polynomial by the monomial separately.
Divide $16a^2$ by $4a$ : First, divide the term $-24a^3$ by $4a$ .
$(-24a^3) \div (4a) = (-24/4) \cdot (a^3/a) = -6a^2$ .
Check that the division and simplification are correct.
Combine the results: Next, divide the term $16a^2$ by $4a$ . $\newline$ $(16a^2) \div (4a) = (\frac{16}{4}) \cdot (\frac{a^2}{a}) = 4a$ . $\newline$ Check that the division and simplification are correct.
Combine the results: Next, divide the term $16a^2$ by $4a$ .
$(16a^2) \div (4a) = (\frac{16}{4}) \cdot (\frac{a^2}{a}) = 4a$ .
Check that the division and simplification are correct.Combine the results of the two divisions to get the final answer.
$(-24a^3 + 16a^2) \div 4a = (-24a^3 \div 4a) + (16a^2 \div 4a) = -6a^2 + 4a$ .

More problems from Divide polynomials by monomials

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