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Find the quadratic polynomial with zeroes 2 and

−1

3

Question

Find the quadratic polynomial with zeroes 2 and

−1

3

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Mathematics
1 month
2021-08-16T06:37:26+00:00
2021-08-16T06:37:26+00:00 1 Answers
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## Answers ( )

Answer:The quadratic polynomial will be = (1/3)(3x^2–5x—2).

Step-by-step explanation:In our case ,α =2 and β = (-1/3)

Sum of zeroes= α+β = 2 + (-1/3) = 2 – ( 1/3 )= (6–1)/3 =5/3Product of zeroes= αβ= 2*(-1/3)= -2/3=

x^2- (sum of zeroes)x+ (product of zeroes)=x^2- (5/3)x + (-2/3)

=(3x^2 – 5x -2)/3

=

(1/3)(3x^2–5x—2)