Question

vide by long division method.
2x4 + x3 – 27x2 – 36x + 155 by 2x – 5
3​

Answer 1

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Divide by long division method

2x−5

2x

4

+x

3

−27x

2

−36x+155

Hard

Solution

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We divide 2x

4

+x

3

−27x

2

−36x+155 by (2x−5) as shown in the above image:

From the division, we observe that the quotient is x

3

+3x

2

−6x−33 and the remainder is −10.

Hence, the quotient is x

3

+3x

2

−6x−33 and the remainder is −10 on dividing the polynomial 2x

4

+x

3

−27x

2

−36x+155 by 2x−5.