Question

What should be subtracted from 8x 4 + 14x 3 - 2x 2 + 7x - 8 so that the number obtained is exactly divisible by 4x 2 + 3x – 2 ?

Answer 1

Solution :-

Please have a look at the attachment for the solution of this question.

14x - 10 must be subtracted from p(x) 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by 4x₂ + 3x - 2