Question

What should be added to the polynomial x² − 5x + 4, so that 3 is the zero of the resulting polynomial?

(a) 1
(b) 2
(c) 4
(d) 5

Answer 1

If, is a zero of a polynomial thenis a factor of

Since 3 is the zero of the polynomial,

Thereforeis a factor of

Now, we divideby we get

Therefore we should add 2 to the given polynomial

Hence, the correct choice is