The sum of zeros is 4 and the product is 1, then tell the polynomial?
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Answer:
Step-by-step explanation:
Sum of zeros = 4
product if zeroes = 1
Required polynomial = x² - sx + p
where, s = sum of zeroes
p = product of zeroes
polynomial = x² - 4x + 1
Hope this will help You
Answered by
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Hlo mate here is ur ans....
Let α and β are zeros of required quadratic polynomial..
α+β=4 ---- ( 1 ) [ given ]
αβ=1 ----- ( 2 ) [ Given ]
αβ=1 ----- ( 2 ) [ Given ]The required polynomial,
x ^2 −(α+β)x+(αβ)=0
Now, using ( 1 ) and ( 2 )
Now, using ( 1 ) and ( 2 )⇒ x ^2−4x+1=0
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