frac{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)

a2linetagadaW 2021-02-08 Answered
4x2x23x1
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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Expert Answer

Leonard Stokes
Answered 2021-02-09 Author has 98 answers
Step 1
Consider the division 4x2x23x1.
Here, the dividend is 4x2x23 and the divisor is x-1.
(4x+3x1)(4x2x23)
4x24x3x23
3x320
Step 2
Write the result in the form of p(x)=d(x)q(x)+r(x) as follows.
4x2x23=(x1)(4x+3)+(20)=(x1)(4x+3)=20
Result:The polynomial in the form of p(x)=d(x)q(x)+r(x) is 4x2x23=(x1)(4x+3)20.
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