Math, asked by yashsinghys826, 4 months ago

Find a quadratic polynomial PX with three and minus 2 by 5 as sum and product of this zero respectively

Answers

Answered by deepikayadav4192
1
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Answered by KumariVaishnavi17
2

Answer:

assume a=3 as one root and b=-2/5 as the other.

Sum of roots=3+(-2/5)=13/5

Product of roots=3*-2/5= -6/5

Therefore, we form the equation using-

x^2 - (sum of roots)*x + (product of roots) = 0

x^2 - (13/5)*x + (-6/5) = 0

x^2 - 13x/5 - 6/5 = 0

if we take LCM and simplify, we finally get-

5x^2– 13x - 6 = 0.

Thank you.

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