sum and product of zeroes of quardratic polynomial are 5 and 17 respectively. Find the second polynomial.
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Answered by
3
Answer:
Sum = 5
Product = 17
Polynomial = x^2 - 5x + 17
Answered by
5
Answer : x² - 5x + 17
Step by step explanation :
Let's assume the zeroes as α and β
Thus,
α + β = 5 and αβ = 17
The quadratic polynomial whose sum and product of the zeroes are given is given by :
x² - (α+β)x + αβ
⇒ Then the quadratic polynomial will be :
⇒ x² - (5)x + 17
⇒ x² - 5x + 17
Final answer : The required polynomial is x² - 5x + 17.
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