Question

Form a quadratic polynomial the sum of whose zero is -5 and their product is 6​

Answer 1

Given that,

↪ Sum of the zeroes : α + ß = -5

↪ Product of the zeroes : αß = 6

Form of quadratic polynomial is

${x}^{2} - ( \alpha + \beta )x - \alpha \beta = 0$

Substitute the zeroes..

$⟹ {x}^{2} - ( - 5)x + 6 = 0 \\ \\ ⟹ {x}^{2} + 5x + 6 = 0$

Hence, the quadratic polynomial is “ x² + 5x + 6 = 0 ”

Step-by-step explanation:

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Answer 2

Answer:

x^2 +x(alpha +beta)+alpha beta

we know alpha +beta = sum of zeroes which is 5.

also alpha ×beta =product of zeroes which is 6.

so by using the formula given above we can find the quadratic equation

x^2+x(5)+(6)

so the equation is x^2 +5x +6

Step-by-step explanation:

hope u understand