Question

How do you prove Remainder Theorem?​

Answer 1

Answer:

how to avoid Polynomial Long Division when finding factors

Do you remember doing division in Arithmetic?

7/2=3 remainder 1

"7 divided by 2 equals 3 with a remainder of 1"

Each part of the division has names:

dividend/divisor=quotient with remainder

Which can be rewritten as a sum like this:

7 = 2 times 3 + 1

Answer 2

According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn't essentially an element of the polynomial; you will find a smaller polynomial along with a remainder. This remainder that has been obtained is actually a value of P(x) at x = a, specifically P(a).

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