Question

whatno. should be added to the polynomial x^2-5x+4,so that 3is a 0 of polynomial so obtained

Answer 1

siddhartharao77Genius
Let k be added to the polynomial.

Given Equation is p(x) = x^2 - 5x + (4 + k).

If 3 is the zero of the polynomial, then the equation will become p(3) = 0

p(3) = (3)^2 - 5(3) + (4 + k) = 0

        9 - 15 + 4 + k = 0

          - 6 + 4 + k = 0

             -2 + k = 0

                k = 2.


Therefore the number to be added to the polynomial is 2.


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