Question

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

Options

• 30

• 14

• 15

• 16

Answer 1

We know that, if `x = alpha`, is zero of a polynomial then `x-alpha` is a factor of  f(x)

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

Now, we divide  f(x) = x² − 16x + 30 by  ( x - 15) we get

Thus we should subtract the remainder  15 from `x^2 - 16x+30`

Hence, the correct choice is (c).