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Long Division Method to Divide Two Polynomials

Using divisio...

Question

Using division algorithm, divide the polynomial $2 x^{3} + 2 x^{2} - 5 x + 1$ by $(x - 1)$ .

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Solution

We divide the polynomial $2 x^{3} + 2 x^{2} - 5 x + 1$ by $(x - 1)$ as shown in the above image:

Hence, the quotient is $2 x^{2} + 4 x - 1$ and the remainder is $0$ .

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