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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
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Solution
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).
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