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Level 295

Zero's of Polynomials


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f(x) = (x+1)²(x-3)⁵
Touches @ -1
f(x) = (x+2)³(x-4)
Crosses @ -2, 4
f(x) = (x-1)²(x+2)³
Touches @ 1
f(x) = (x+1)³(x+6)⁴
Crosses @ -1
f(x) = (x-3)²
Touches @ 3
f(x) = x(x+5)²
Touches @ -5
f(x) = x(x+2)⁴
Touches @ -2
f(x) = x²(x+4)⁴
Touches @ 0, -4
f(x) = (x+6)(x-5)
Crosses @ -6, 5
f(x) = (x+1)³(x-2)⁵
Crosses @ -1, 2
f(x) = 3(x-6)(x-2)²
Touches @ 2
f(x) = 5x(x+3)³
Crosses @ 0, -3
f(x) = (x+4)²(x-4)²
Touches @ -4, 4
f(x) = 2x²(x+5)
Touches @ 0
f(x) = (x+7)(x-2)
Crosses @ 2, -7
What is the Rational Zeros Theorem?
Every rational zero of P is of the form p/q