Question

Find a quadratic polynom
ial with zeroes 5 and -2

Answer 1

Let 5=a, -2=b

$polynomial = k( {x}^{2} - (a + b)x + ab)$

a+b=5-2=3

ab=5×(-2)=-10

therefore, polynomial=k(x^2 - 3x -10)

ignoring k,

the polynomial is x^2 - 3x -10

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Answer 2

HI

➡️Sum of the zeroes = -b/a = 5+(-2) =5 -2=3

➡️ Product of the zeroes = c/a = 5(-2) = -10

a = 1 -b = 3 c = -10

b= -3

Therefore, the quadratic polynomial is x²-3x-10

Hope it proved to be beneficial....