find the quadratic polynomial whose sum of zeroes is underoot 2 and the product of zeroes is 1/3
Answers
Answered by
3
Answer:
let roots be A and B then
A+B= ✓2
A.B= 1/3
as the equation of quadratic polynomial is
x*2-(A+B)x +A.B
x*2 -✓2x +1/3
Answered by
4
Answer:
Quadratic polynomial=3x²-3√2x+1
Step-by-step explanation:
α+β=√2, αβ=⅓
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-√2x+⅓
Multiply each term by 3
=x²×3-√2x×3+⅓×3
=3x²-3√2x+1
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