Question

What should be subtracted from the polynomial x2 – 16x+30, so that (x-15) is factor of the resulting

polynomials?​

Answer 1

Answer:

We know that, if x = is zero of a polynomial then x - 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 x2 - 16x + 30.