Find a quadratic polynomial each with given numbers as their zeroes
I root 3 ,3 root 3
ii 2+3root2, 2-3root2
iii -3/7 ,-2/3
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1) α=√3, β=3√3
x=√3, x=3√3
(x-√3)(x-3√3)
x²-3√3x-√3x+9
x²-4√3+9
2) α=2+3√2, β=2-3√2
x=2+3√2, x=2-3√2
(x-2+3√2)(x-2-3√2)
x²-(2-3√2)x-(2+3√2)x+14
x²-4x+14
3) α=-3/7, β=-2/3
x=-3/7, x=-2/3
(x+3/7)(x+2/3)
x²+2x/3+3x/7+6/21
x²+(14x+9x)/21+2/7
x²+23x/21+2/7
x=√3, x=3√3
(x-√3)(x-3√3)
x²-3√3x-√3x+9
x²-4√3+9
2) α=2+3√2, β=2-3√2
x=2+3√2, x=2-3√2
(x-2+3√2)(x-2-3√2)
x²-(2-3√2)x-(2+3√2)x+14
x²-4x+14
3) α=-3/7, β=-2/3
x=-3/7, x=-2/3
(x+3/7)(x+2/3)
x²+2x/3+3x/7+6/21
x²+(14x+9x)/21+2/7
x²+23x/21+2/7
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