Question

A quadratic polynomial whose one zero is 5 and sum of zero is 0 is given by _

Answer 1

Answer:

k(x²-0.x+25).

Step-by-step explanation:

general form of quadratic polynomial is k(x²-(sum of zeroes)x + product of zeroes).

one root is 5 and the sum of the roots is 0 then the other root is -5.

Answer 2

The given question is we have to find a quadratic polynomial whose zero is 5 and sum of zero is 0 .

The general form of the quadratic polynomial is

${x}^{2} - x(sum \: of \: zeroes) + product \: \: of \: zeroes$

It is given that sum of zeroes is 0.

one of the zero is 5 . we have to first find the another zero, let it be y

$y + 5 = 0 \\ y = - 5$

Therefore, the other zero is -5.

The equation of a quadratic polynomial is

${x}^{2} - 0x + (5)( - 5) \\ {x}^{2} - 25 = 0$

Therefore, the final answer is

${x}^{2} - 25 = 0$

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