find the quadritic polynomial ,the sum of whoose roots are -4 and their products is 13
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The General form of a quadratic polynomial whose Sum of roots and products of roots is given :
x
2
- ( Sum of roots) x + ( Product of roots ) =0
In the above question,
Sum of roots =
2
Product of roots =1/3.
Now, The quadratic polynomial
x
2
−
2
x+1/3=0
3x
2
−3
2
x+1=0
Required polynomial is 3x
2
−3
2
x+1
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