Q1 of 31 Page 245

For each pair of polynomial is below, check whether the first is a factor of the second. If not a factor, find the remainder on dividing the second by the first.

x + 1, x3 + 4x2 – 3x – 6

Given, a pair of polynomial as x + 1, x3 + 4x2 – 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 x3 + 4x2 – 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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For each pair of polynomial is below, check whether the first is a factor of the second. If not a factor, find the remainder on dividing the second by the first.

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