Question

18. If alpha and betta are the zeroes of the polynomial p(x)
x2- 2x + 3,
find a polynomial whose roots are
1/alpha and 1/betta


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Answer 1

Step-by-step explanation:

x=3

x=1

x=1/3

y=1 OK friend this is urs answer

Answer 2

Answer:

Step-by-step explanation:

x²-2x+3

Sum of roots  = (-coefficient of x/ coefficient of x²)

α+β= 2/1 = 2

Product of roots = (-coefficient of constant term/ coefficient of x²)

αβ = 3

Sum of roots of polynomial whose roots are 1/α and 1/β

1/α + 1/β

= (α+β)/αβ

= 2/3

Sum of roots of polynomial whose roots are 1/α and 1/β

1/αβ = 1/3

Hence polynomial whose roots are 1/α and 1/β is

x² - 2x/3 + 1/3

= 3x² - 2x + 1