THE sum of the zeroes and product of the zeroes of a quadratic polynomials are given below then find the quadratic polynomials in each case a)root 2 , 1/3 b) 0,root 5 c) 1,1 d) 1,4
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A) √2, 1/3
a(alpha)+B(beta)= -b/a = √2/1
a(alpha)*B(beta) = c/a = 1/3
'a' is not equal so
a(alpha)+B(beta)= -b/a = √2*3/1*3=3√2/3
a(alpha)*B(beta) = c/a = 1/3
a=3
-b=3√2
c=1
ax^2+bx+c
3x^2+(-3√2)+1
3x^2-3√2)+1
this is your quadratic polynomial
you can apply same method on other
Hope it will help you
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