Answer :

Given, a pair of polynomial as x + 1, x^{3} + 4x^{2} – 3x – 6

Need to find out the first polynomial is factor of second and if not a factor need to find the remainder

⇒ To check x + 1 is a factor of x^{3} + 4x^{2} – 3x – 6 we must substitute x = – 1 in the second polynomial, we get as follows

⇒ – 1 + 4 + 3 – 6 = 0

∴ x + 1 is a factor

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In each pair of pKerala Board Mathematics Part-2

In each pair of pKerala Board Mathematics Part-2

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In each pair of pKerala Board Mathematics Part-2

In each pair of pKerala Board Mathematics Part-2

In each pair of pKerala Board Mathematics Part-2

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For each pair of Kerala Board Mathematics Part-2

For each pair of Kerala Board Mathematics Part-2