Question

find a quadratic polynomial whose zeroes are 5 and -2 .

Answer 1

Let the zeroes be α and β,

α + β = -b/a

5 + (-2) = -b/a

3 = -b/a

α × β = c/a

5 × -3 = c/a

-15 = c/a

a = 1, b = -3, c = -15

Quadratic equation → k x²-3x-15 = 0

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Answer 2

Answer:

the quadratic eq.is x2-3x-10