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Divide using long division. Check your answer. (5x^2-3x+2) / (x-1) The quotient is _____ with remainder _____.

Divide using long division. Check your answer. (5x^2-3x+2) / (x-1) The quotient is-example-1

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Long Division of Polynomials

Divide:


5x^2-3x+2\text{ by }x-1

Arranging dividend and divisor for the long division procedure:r thefrrrArA


x-1\text{ \mid 5}x^2-3x+2

Divide the first term of the dividend by the first term of the divisor:of the d


(5x^2)/(x)=5x


\begin{gathered} \text{ }5x \\ x-1\text{ \mid }5x^2-3x+2 \end{gathered}

Multiply 5x by the divisor: div


5x*(x-1)=5x^2-5x

Subtract this product from the dividend:


\begin{gathered} \text{ }5x \\ x-1\text{ \mid }5x^2-3x+2 \\ \text{ }5x^2-5x \\ \text{ }2x+2 \end{gathered}

Now divide 2x+2 by x = 2. Repeat the procedure:rocedurrocedu


\begin{gathered} \text{ }5x+2 \\ x-1\text{ \mid }5x^2-3x+2 \\ \text{ }5x^2-5x \\ \text{ }2x+2 \\ \text{ }2x-2 \\ \text{ 4} \end{gathered}

The quotient is 5x + 2 and the remainder is 4

a

User Hemant Tank
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