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Given -
a + b = 10 and ab = 6
The quadrilatic polynomial whose zeroes are a , b is ,
f ( x ) = k [ x² - ( a + b )x + ab ]
= k [ x² - 10x + 6]
When 'k' is any non zero real number
Answered by
2
Answer:
The quadratic polynomial be x^2 - 10x +6.
Step-by-step explanation:
Let,the quadratic polynomial be ax^2 + bx + c = 0.
Now,
α + β = 10 = -b/a
αβ = 6 = c/a
Here, a=1, b= (-10) and c=6.
So, by substituting the value of a,b and c in ax^2 +bx+c =0, we get
x^2 - 10x + 6 = 0.
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