Question

State remainder theorems?

Answer 1

Answer:

The Remainder Theorem Definition states that when a polynomial is p ( a ) is divided by another binomial ( a - x ), then the remainder of the end result that is obtained is p ( x ).

Step-by-step explanation:

give me brainliests answer

Answer 2

The Remainder Theorem states that when a polynomial is f ( a ) is divided by another binomial ( a - x ), then the remainder of the end result that is obtained is f ( a ). The remainder theorem is applicable only when the polynomial can be divided entirely at least one time by the binomial factor to reduce the bigger polynomial to a smaller polynomial a, and the remainder to be 0. This is one of the ways which are used to find out the value of a and root of the given polynomial f ( a ).

Proof:

When f ( a ) is divided by ( a - x ), then:

f ( a ) = ( a - x ) . q ( a ) + r

Consider x = a;

Then,

f ( a ) = ( a - a ) . q ( a ) + r

f ( a ) = r









Hope it helps you