Question

How to do remainder theorem ?​

Answer 1

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial P(x) by any factor (x - a); which is not necessarily a factor of the polynomial; you'll obtain a new smaller polynomial and a remainder, and this remainder is the value of P(x) at x = a, i.e P(a)

Remainder Theorem operates on the fact that a polynomial is completely divisible once by its factor to obtain a smaller polynomial and a remainder of zero. This provides an easy way to test whether a value a is a root of the polynomial P(x).

For example, given a polynomial P(x), and also given that a is a root of the polynomial, then when P(x) is divided by the factor (x - a), the result should be a smaller polynomial P1(x) and a remainder zero.

Below is an example that serves to prove the remainder theorem

prove that x = 1 is a root of P(x),

solution:

which implies that x = 1 is a root of the polynomial P(x), and (x - 1) is a factor of P(x)

Therefore if we were to synthetically divide through P(x) by (x - 1), we should get a new smaller polynomial and a remainder of zero:

Answer 2

Answer:

Reminder Theorem

if p(x)=8x+9x

then

g(x)=x+2

=x+2=0

=-2

p(-2)=8(-2)+9(-2)

=-16-18

=-34

therefore

it is the answer

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