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Quadratic Equation

the value of ...

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the value of quadratic polynomial is zero only at x=-2 and -1. if p(1)=6, then p(3) is

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If x = 6 is a zero of quadratic polynomial $3 x^{2} - m x - 24$ , then the value of m is __

Q. A quadratic polynomial

p (x)

1 + \sqrt{5}

1 - \sqrt{5}

as its zeros and

p (1) = 2

. Then the value of

p (0)

Q. A quadratic polynomial

p (x)

1 + \sqrt{5}

1 - \sqrt{5}

as its zeros and

p (1) = 2

. Then the value of

p (0)

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 the quadratic polynomial

2 x^{2} + 3 x - 6

, then find the values of :

α^{2} + β^{2}

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