What should be subtracted to the polynomial x2 − 16x 30 so that X − 15 is the factor of the resulting polynomial?

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

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).

Concept: Relationship Between Zeroes and Coefficients of a Polynomial

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What should be subtracted to the polynomial x2 16 x+30, so that 15 is the zero of the resulting polynomial?a 30b 14c 15d 16