Question

the sum and product of the zeros of a quadratic polynomial are -1/2 and -3 respectively. What is the quadratic polynomial​

Answer 1

Answer:

if the sum and product are given then the formula gor quadratic equation is

x2 - (sum of zeros) x +(products of zero)

x2 - ( -1/2) x + (-3)

2x2 + x - 3

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Answer 2

Answer:

Sum of quadratic equation = -1/2 = (α+β)

Product of quadratic equation = -3 = (αβ)

standard quadratic equation = x² - (α+β)x + (αβ)

x² -(- 1/2)x + (-3) = 0

x² + x/2- 3 = 0 = 0

( 2x² + x -6) /3 = 0

2x² + x - 6 = 0×3

Hence, 2x² + x - 6 is the required quadratic polynomial

Step-by-step explanation:

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