find a quadratic polynomial if the sum of zeros and product of zeros are 1 upon 4 and -1
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Answered by
19
Sum of roots = 1/4
Product of roots = -1
Quadratic equation -
x^2 -(Sum of roots)x + (Product of roots) = 0
x^2 - 1/4x+ (-1) = 0
4x^2 - x - 4 = 0
Hope This Helps You!
Product of roots = -1
Quadratic equation -
x^2 -(Sum of roots)x + (Product of roots) = 0
x^2 - 1/4x+ (-1) = 0
4x^2 - x - 4 = 0
Hope This Helps You!
Answered by
13
Given,
Sum of roots or zeroes =1/4
Product of roots or zeroes = -1
General form of a quadratic polynomial in variable x is x²-(Sum of roots)*x+Product of roots
⇒x²-(1/4)x-1
⇒x²-x/4-1
⇒4x²-x-4
∴ The Quadratic polynomial with sum of roots =1/4, Product of roots =-1 is x²-x/4-1 (or) 4x²-x-4
Sum of roots or zeroes =1/4
Product of roots or zeroes = -1
General form of a quadratic polynomial in variable x is x²-(Sum of roots)*x+Product of roots
⇒x²-(1/4)x-1
⇒x²-x/4-1
⇒4x²-x-4
∴ The Quadratic polynomial with sum of roots =1/4, Product of roots =-1 is x²-x/4-1 (or) 4x²-x-4
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