Can (x^2 - 1) be a remainder while dividing x^4 - 3x^2 + 5x - 9 by (x^2 + 3)? Justify your answer with reason.... | VSA 1m | Maths | SuperPadhai

Polynomials > Question

VSA1 markYear: 2020EasyCBSE Class 10

polynomialsdivision-algorithmremainder

Question

Can

(x^{2} - 1)

be a remainder while dividing

x^{4} - 3 x^{2} + 5 x - 9

by

(x^{2} + 3)

? Justify your answer with reason.

Solution

1

No, because the degree of remainder must be less than the degree of divisor.

+0.5 marks

2

Degree of

(x^{2} - 1) = 2

= Degree of

(x^{2} + 3) = 2

, so

(x^{2} - 1)

cannot be the remainder.

+0.5 marks

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