Question

what must be subtracted from f ( x ) = 4x4 + 2x3 -2x2+x-1 so that the resulting polynomial is divisible by g (x)=x2+

2x-3

Answer 1

f(x)= 16+6-4+x-1

= 17+x

g(x)= x2+2x-3

=x2+(3x-x)-3

=x(x+3)-1(x+3)

(x+3)(x-1)

g(x)€ f(x)

Answer 2

Hope this helps...!!