find the quadratic polynomial in each case with the given number as the sum and product of its respectively 1/4-1,^2,1/3, 0,^5, 1,1 , -1/4,1/4,4,1
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Answer:
Sum of the zeroes =(α+β)=1
Product of the zeroes =αβ=1
Let the Quadratic polynomial be
ax
2
+bx+c is
k[x
2
−(α+β)x+αβ],
where k is a constant and k
=0,then
k[x
2
−(1)x+(1)]
⇒x
2
−x+1
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