Subject: Remainder Theorem
Name: Brianna
Who are you: Student

For the dividend, find the value of k if the remainder is 3.
(kx^2+3x+1) divided by (x-2)

Hi Brianna,

When 25435438 is divided by 5 the remainder is 3 so 25435438 is a multiple of 5 plus 3 more. That is there is a number n so that

25435438 = 5 n + 3

When kx²+3x+1 divided by (x-2) the remainder is 3 so kx²+3x+1 is a multiple of (x - 2) plus 3 more. That is there is a polynomial p(x) so that

kx²+3x+1 = (x - 2) p(x) + 5

Substitute x = 2.

Penny