 # (4x^2 − x − 23) / (x-1) Use polynomial long division to perform the indicated division. Write the polynomial in the form p(x) = d(x)q(x) + r(x) Reggie 2020-12-30 Answered
$\frac{4{x}^{2}-x-23}{x-1}$
Use polynomial long division to perform the indicated division. Write the polynomial in the form p(x) = d(x)q(x) + r(x)
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Step 1
Consider the division $\frac{4{x}^{2}-x-23}{x-1}$.
Here, the dividend is $4{x}^{2}-x-23$ and the divisor is x-1.
$\frac{4x+3}{x}-1\right)4{x}^{2}-x-23$
$\frac{4{x}^{2}-4x}{3x-23}$
$\frac{3x-3}{-20}$
Step 2
Write the result in the form of p(x) = d(x)q(x) + r(x) as follows.
$4{x}^{2}-x-23=\left(x-1\right)\left(4x+3\right)+\left(-20\right)$
=(x-1)(4x+3)-20
Step 3
The polynomial in the form of .

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