Question

what must be subtracted from x⁴+6x³+13x²+13x+8 so that the resulting polynomial is exactly divisible by x²+3x+2.

Answer 1

Hope it helps you.....

Answer 2

Given; x⁴+6x³+13x²+13x+8

To Find; what must be subtracted from x⁴+6x³+13x²+13x+8 so that the resulting polynomial is exactly divisible by x²+3x+2.

Solution; This question can be easily solved by letting the value of and then checking what should be subtracted from the polynomial

x⁴+6x³+13x²+13x+8=41

x²+3x+2=6

For making it divisible 5 should be subtracted

Hence 5 should be subtracted