Question

Find the remainder when x4 +4x® - 5x² - 6x +7 is divided by
(i) x-3
(ii) x+3
(iii) x-2
(iv) x+2
(v) x-1
(vi) x+1​

Answer 1

Answer:

We divide x

4

+4x

3

−5x

2

−6x+7 by (x+3) as shown in the above image:

From the division, we observe that the quotient is x

3

+x

2

−8x+18 and the remainder is −47.

Hence, the remainder is −47.