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Formation of a Quadratic Equation From It's Roots

24. If alpha ...

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24. If alpha and beta are the zeroes of the quadratic polynomial f(t)=t(square)_(minus)5t+3 then the value of alpha (power4)beta (power3)+alpha (power3)beta (power4)

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α & β

are zeros of p(x) and

α + β = 24 & α - β = 8

, then find quadratic polynomial.

Q. Assertion :If

2, 3

are the zeroes of a quadratic polynomial, then polynomial is

x^{2} - 5 x + 6.

α, β

are the zeroes of a monic quadratic polynomial, then polynomial is

x^{2} - (α + β) x + α β

.

α

β

are zeros of a quadratic polynomial such that

α + β = 24

α - β = 8

find a quadtratic polynomial having

α

β

α

β

are the zeroes of the quadratic polynomial

f (x) = 2 x^{2} - 5 x + 7

,then a polynomial whose zeroes are

2 α + 3 β

3 α + 2 β

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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