Question

If the sum and the product of the zeros of a quadratic polynomial in 'x' are '3' and '0' , then the quadratic polynomial is_____.​

Answer 1

Answer:

quadratic polynomial is given by x²-sx+p

where s is sum and p is product of polynomial

put the value

x²-3x+0(answer)

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Answer 2

Step-by-step Explanation:

Sum of the zeros = 3

Product of the zeros = 0

The quadratic polynomial is in the form of ax²-(Sum of the roots)x+(product of the roots)

If α and β are the zeros of the polynomial,

α + β = 3

β = 3 - α

αβ = 0

α(3-α) = 0

3α = α²

α = 3

β = 3 - α = 3 - 3 = 0

Thus, α = 3 and β = 0,

the quadratic polynomial is, x² - 3x + 0

thus, x² - 3x