What should be subtracted from the polynomial (x²-16x+30) so that (x-15) is a factor of the resulting polynomial.
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What should be subtracted from the polynomial (x²-16x+30) so that (x-15) is a factor of the resulting polynomial.
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We are given that 15 is the zero of the final equation, so f (15) = 0. Satisfying 15 in the given polynomial ${{x}^{2}}-16x+30$, we get remainder as 15. Hence, 15 must be subtracted from the polynomial ${{x}^{2}}-16x+30$ to make 15 a factor of this equation.
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