Question

What should be added to the polynomial x2-5x+4,so that (x-3) is factor of the resulting polynomial?

Answer 1

Hello,

we have that:

P(x) = x²-5x+4

so

P(3)=3²-5(3)+4=9-15+4=-2

Since, -2 is the remainder.

Therefore, 2 must be added to P(x) So that 3 will be a zero of the polynomial.

bye :-)

Answer 2

First we have to divide x²- 5x +4 by x- 3.

After division the quotient =x- 2

The remainder = -2

The number to be added

=Quotient - Remainder

=x- 3 - (-2)

=x- 3 + 2

=x- 1

=3-1

=2