Question

divide the polynominal 5x^4-3x^3+4x+5 by x-3

Answer 1

Answer:

Long division of polynomials is very similar to regular long division. It can be used to simplify a rational function N(x)D(x) for integration in Calculus, to find a slant asymptote in PreCalculus, and many other applications. It is done when the denominator polynomial function has a lower degree than the numerator polynomial function. The denominator can be a quadratic.

Ex. y=x2+12x−2

x+2 −−−−−−−−−−−−−−−−−−

x−2∣x2+0x+12

x2−2x−−−−−−−

2x+12

2x−4 −−−−−−−−

16

This means y=x2+12x−2=x+2+16x−2

The slant asymptote in the above example is y=x2