Question

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

Answer 1

$x {4} + 2x {3} - 13x{2} - 12x + 21 \\ divided \: by \\ x{2} - 4x + 3 \\ reminder \: = 2x - 3$

You must be 2x - 3 subtracted from the polynomial so that the resulting polynomial is exactly divisible by

x2-4x+3

ANSWER