Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(4x^(3)-23 x-21)÷(2x+3)

$8$ . $\left(4 x^{3}-23 x-21\right) \div(2 x+3)$

View step-by-step help

View step-by-step help

Divide polynomials using long division

Full solution

Q.

8

.

\left(4 x^{3}-23 x-21\right) \div(2 x+3)

Set up polynomial long division: Step $1$ : Set up the polynomial long division. $\newline$ Divide $4x^3$ by $2x$ to get $2x^2$ . $\newline$ Subtract $(2x^2 \cdot (2x + 3))$ from $(4x^3 - 23x - 21)$ .
Simplify the subtraction: Step $2$ : Simplify the subtraction. $\newline$ $(4x^3 - 23x - 21) - (4x^3 + 6x^2) = -6x^2 - 23x - 21$ .
Continue the division: Step $3$ : Continue the division. $\newline$ Divide $-6x^2$ by $2x$ to get $-3x$ . $\newline$ Subtract $(-3x * (2x + 3))$ from $(-6x^2 - 23x - 21)$ .
Simplify the subtraction: Step $4$ : Simplify the subtraction. $\newline$ $(-6x^2 - 23x - 21) - (-6x^2 - 9x) = -14x - 21$ .
Continue the division: Step $5$ : Continue the division. $\newline$ Divide $-14x$ by $2x$ to get $-7$ . $\newline$ Subtract $(-7 * (2x + 3))$ from $(-14x - 21)$ .
Simplify the subtraction: Step $6$ : Simplify the subtraction. $\newline$ $(-14x - 21) - (-14x - 21) = 0$ .

More problems from Divide polynomials using long division

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