Question

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

Answer 1

p(x) = 8x⁴ + 14x³ - 2x² + 7x - 8

g(x) = 4x² + 3x - 2

= x² + 3/4x - 1/2

A.t.q,

The remainder must be subtracted from p(x) so that p(x) is exactly divisible by g(x).

On dividing p(x) by g(x), we get

Remainder as: 14x - 10,

On subtracting 14x - 10 from p(x), we get

p(x) = 8x⁴ - 14x³ - 2x² - 7x + 2

Answer 2

Given :P(x) = $8x^4+14x^3-2x^2+7x-8$

g(x) = 4x²+3x-2

Solution :

on dividing p(x) by g(x) we get

quotient = 2x²+2x-1

remainder = 14x-10

so , 14x-10 must be subtracted from the p(x)

so that the resulting polynomial is exactly divisible by g(x)

#Learn more :

brainly.in/question/9808640