find a quadratic polynomial with the given numbers as the sum and product of its zeros respectively
1. 2/3 and -4
2.√5 and -2
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1. 3x^2 -2x -12
2. x^2 - root5 x -2
2. x^2 - root5 x -2
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1. The sum of zeroes =2/3.
The product of zeroes =-4.
☆k [x^2-(Sum of zeroes )x +Product of zeroes ]
k [x^2-(2/3)x +(-4)]
k [3(x^2 )-2/3x-4 (3)]
☆k [3x^2-2x-12].
Hence the required polynomial is
3x^2-2x-12.
2.The sum of zeroes =root5.
The product of zeroes = -2.
☆k [x^2 -( Sum of zeroes )x+Product of zeroes ]
☆k [x^2 - root5 x-2]
Hence the required polynomial is
x^2 - root5x -2.
Hope it helps u. ☆☆
The product of zeroes =-4.
☆k [x^2-(Sum of zeroes )x +Product of zeroes ]
k [x^2-(2/3)x +(-4)]
k [3(x^2 )-2/3x-4 (3)]
☆k [3x^2-2x-12].
Hence the required polynomial is
3x^2-2x-12.
2.The sum of zeroes =root5.
The product of zeroes = -2.
☆k [x^2 -( Sum of zeroes )x+Product of zeroes ]
☆k [x^2 - root5 x-2]
Hence the required polynomial is
x^2 - root5x -2.
Hope it helps u. ☆☆
Anonymous:
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