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. $\newline$ $(24t^2 + 36t) \div 6t$ $\newline$ ______

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

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

\newline

______

Dividing the polynomial by the monomial: We need to divide each term in the polynomial by the monomial $6t$ . $(24t^2 + 36t) \div 6t$ can be written as $(24t^2)/(6t) + (36t)/(6t)$ .
Dividing the first term: Now let's divide the first term, $24t^2$ , by $6t$ . $\newline$ $\frac{24t^2}{6t} = \frac{24}{6} \times \frac{t^2}{t} = 4t$ .
Dividing the second term: Next, we divide the second term, $36t$ , by $6t$ . $\newline$ $\frac{36t}{6t} = \frac{36}{6} \times \frac{t}{t} = 6$ .
Combining the results: Combine the results of the division of each term. $\newline$ $(24t^2 + 36t) \div 6t = \frac{24t^2}{6t} + \frac{36t}{6t} = 4t + 6$ .

More problems from Divide polynomials by monomials

Question

Find the degree of this polynomial.

\newline

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

\newline

Posted 6 months ago

Question

\newline

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

\newline

Posted 6 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 6 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 6 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 6 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

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

Posted 10 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 10 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 10 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 10 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 3 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant