If one zero of the polynomial x2-6x+6 is 3-root 3 find its other zeros
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one zero of p(x) is 3 - root 3.
now, the sum of the zeroes of a polynomial is the coefficient of x in the polynomial.
here, coefficient of x is 6.
let α = 3 - √3 and β be the other zero
then α + β = 6.
then, 3 - √3 + β = 6.
then β = 3 + √3.
hence the other zero is 3 + √3
now, the sum of the zeroes of a polynomial is the coefficient of x in the polynomial.
here, coefficient of x is 6.
let α = 3 - √3 and β be the other zero
then α + β = 6.
then, 3 - √3 + β = 6.
then β = 3 + √3.
hence the other zero is 3 + √3
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Answer:
Hey Mate! Here's your answer
Let p(x) = x2 − 6x + 6
Let α and β are the zeroes of p(x)
Let α = 3 − √3 ; β = ?
Now, α + β = − coeffcient of x / coeffcient of x2 =6
⇒3 − √3 + β = 6
⇒β = 3 +√3
Hence, its other zero is 3 + √3
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