find a quadratic polynomial each with a root 2 and 1 by 3 as a sum product its zeros respectively
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Answer:
quadratic polynomial,
3x²-7x+2 = 0
sum of the roots = 7/3
product of the roots = 2/3
Step-by-step explanation:
Zeroes of the quadratic polynomial is 2, 1/3
a = 2 ; b = 1/3
sum of the roots,
a+b = 2+1/3
= 7/3
product of the roots,
ab = 2(1/3)
= 2/3
quadratic polynomial,
x²-(a+b)x+ab = 0
x²-(7/3)x+2/3 = 0
3x²-7x+2 = 0
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