Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- a^7+b^7
- x^7+y^7
- a^5-b^5
- 1-a+a^2-a^3+a^4-a^5+a^6-a^7+a^8-a^9
- Least common denominator:
- (-y*exp(1)/(exp(1)+1)+(1-y)*exp(1)/((1-1/(exp(1)+1))*(exp(1)+1)^2))/m
- ((-k2/p)*(k3/(t3*p+1))+k1*p)*((k5*p)/(1+k3*p*(k3/(t3*p+1))*(k4*(t4*p+1))))
- (k1*p*(k4*(t4*p+1))+k2/p)*k5*p+(k1*p)*(k3/(t3*p+1))
- k1/(1+k1*(-k2*k3*k3/((t3^2*s^2+2*t3*s*e+1)*(t2*s+1))+1/(t1*s+1)))
- Factor squared:
- -a^4-8*a^2-1
- -q^4-4*q^2+5
- -9*p^2-5*p-4
- x^2-x*a+4*a^2
- How do you in partial fractions?:
- (4x^2+40x−156)/(4x-12)
- (6x^2+29x)/(x+5)
- (x^3+12*x)*(x/(2*(x^3+12*x))+(-12-3*x^2)*(x^2+4)/(4*(x^3+12*x)^2))/(x^2+4)
- 3*x^2/(8-x^4)+4*x^6/(8-x^4)^2
Factorization polynomials
Examples of factorization
- With a square
a^2+6*a+9
16*x^2-y^2
- With cube
X^3+1
m^3-4^3-12*m^2-48*m
- With the third power
x^3+f*x^2
5*a^3-40*b^6
- With the fourth power
X^4+1
72*x^4+23*x^2-95
- Multiple variables
49*k^2+42*k*p+9*p^2
20*n^2-35*a-14*a*n+50*n
- With a fraction
x^2*x/12+24*x+144/x+12
5^n+1-5^n-5^n/2
The above examples also contain:
- the modulus or absolute value: absolute(x) or |x|
-
square roots sqrt(x),
cubic roots cbrt(x) -
trigonometric functions:
sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x) - exponential functions and exponents exp(x)
-
inverse trigonometric functions:
arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x) -
natural logarithms ln(x),
decimal logarithms log(x) -
hyperbolic functions:
hyperbolic sine sh(x), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x) -
inverse hyperbolic functions:
hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x) -
other trigonometry and hyperbolic functions:
secant sec(x), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(x) -
rounding functions:
round down floor(x), round up ceiling(x) -
the sign of a number:
sign(x) -
for probability theory:
the error function erf(x) (integral of probability), Laplace function laplace(x) -
Factorial of x:
x! or factorial(x) - Gamma function gamma(x)
- Lambert's function LambertW(x)
- Trigonometric integrals: Si(x), Ci(x), Shi(x), Chi(x)
The insertion rules
The following operations can be performed
- 2*x
- - multiplication
- 3/x
- - division
- x^2
- - squaring
- x^3
- - cubing
- x^5
- - raising to the power
- x + 7
- - addition
- x - 6
- - subtraction
- Real numbers
- insert as 7.5, no 7,5
Constants
- pi
- - number Pi
- e
- - the base of natural logarithm
- i
- - complex number
- oo
- - symbol of infinity