Question

What should be subtracted to the polynomial x² − 16x + 30, so that 15 is the zero of the resulting polynomial?

(a) 30
(b) 14
(c) 15
(d) 16

Answer 1

We know that, if, is zero of a polynomial then is a factor of

Since 15 is zero of the polynomial f (x) = x² − 16x + 30, therefore (x − 15) is a factor of f (x)

Now, we divide by we get

Thus we should subtract the remainder from,

Hence, the correct choice is.