Question

Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x square +5 ​

Answer 1

Answer:
`x^2-8+(4x+5)/(x^4-3x^2+4x+5)`

Explanation:

P(x) = x⁴ - 3x² + 4x + 5

g(x) = x² + 5

_x²_- 8

x² + 5) x⁴ + 0x³ - 3x² + 4x + 5

-(x⁴ + 0x³ + 5x²) ↓ ↓

-8x² + 4x + 5

-(-8x² + 0x - 40)

4x + 45

`(x^4-3x^2+4x+5)/(x^2+5)=\large\boxed{x^2-8+(4x+5)/(x^4-3x^2+4x+5)}`