Question

What must be added from f(x) = x4 + 2x3- 13x2-12x +21 so that the resulting
polynomial is exactly divisible by x2- 4x + 3?

Answer 1

LET THE THING WHICH SHOULD BE ADDED BE Y

THEN

(X^4+2X^3-13X^2-12X+21)+Y

=X^2-4X+3

Y=X^2-4X+3 -X^4-2X^3+13X^2+12X-21

Y=14X^2+8X-X^4-2X^3-18