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How to graphicate the function $f(x)= x^5+x+1$

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#calculus #polynomials #roots #graphing-functions #factoring
1k
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If $α, β, γ$ are roots of $x^3 - x -1 = 0$, then find the value of $\frac{1+α}{1-α} + \frac{1+β}{1-β} + \frac{1+γ}{1-γ}$.

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#polynomials #roots #cubics #symmetric-polynomials
366
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How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

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#complex-analysis #polynomials #reference-request #roots #wolfram-alpha
199
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How Gelfond find his limit for $\exp(\pi) $?

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#limits #roots #fixed-point-theorems #pi
281
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Can we say there is exactly one root of $x^4-7x^3+9=0$ in $(1, \:\: 2)$?

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#calculus #polynomials #roots #quartics #rolles-theorem
106
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Is concept of Repeated root only for Polynomials

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#calculus #derivatives #polynomials #roots
99
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Can $a$ and $b$ in Rolle's Theorem use Infinities?

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#calculus #algebra-precalculus #derivatives #roots #rolles-theorem
86
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Proving non-existence of real roots

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#roots #algebraic-equations
253
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Size of partial quotients in continued fraction expansion of $\sqrt{n}$

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#number-theory #roots #quadratics #continued-fractions
91
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Solution to generalized-polynomial equation?

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#polynomials #roots
195
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Is $f(x) = x^4 + x^2 + 1$ reducible in $\Bbb Z_2$?

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#modular-arithmetic #roots #irreducible-polynomials
1.2k
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Solve algebraic equation with floor functions

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#roots #ceiling-and-floor-functions
170
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Number of roots in interval by Fourier

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#polynomials #roots
810
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Irrational exponent understanding

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#soft-question #roots #exponentiation #intuition #irrational-numbers
423
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Bounding a difference of square roots

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#inequality #roots #absolute-value

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