(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
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

d2saint0
Answered 2020-12-31 Author has 89 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)
=(x-1)(4x+3)-20
Step 3
Answer:
The polynomial in the form of p(x)=d(x)q(x)+r(x) is 4x2x23=(x1)(4x+3)20.

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Jeffrey Jordon
Answered 2021-11-14 Author has 2047 answers

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