Question

Sum of zeroes of the polynomial p(x) =x²-kx+9 is 7 find the value of k

Answer 1

Answer:

here is your answer

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Answer 2

SOLUTION

GIVEN

Sum of zeroes of the polynomial p(x) =x²- kx + 9 is 7

TO DETERMINE

The value of k

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

Here the given polynomial is

p(x) = x²- kx + 9

Now Comparing with

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

Sum of the zeroes = k

Product of the Zeros = 9

Again it is given that Sum of zeroes of the polynomial p(x) =x²- kx + 9 is 7

So From above we get k = 7

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