Mister Exam

Lang:

How to use it?
Factor polynomial:
x^4+4*x^3+8*x^2-5*x-10
x^4-4*x^3-7*x^2+22*x+24
x^4-4*x^3-6*x^2+4*x+5
x^4-4*x^3+6*x^2-4*x-15
Least common denominator:
((u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)-(u+4)/(4*u^2-u))
m+2/m^2*m-3*m^2/m+2
(m^2+3*m/m^2+3*m+2-m^2-2*m/m^2-2*m-3)/1/m^2-m-6-5/m+1
(m^2+3*m)/(m^2+3*m+2)-(m^2-2*m)/(m^2-2*m-3)
Factor squared:
-y^2+2*y+5
y^2+13*y*a-9*a^2
-y^2-13*y*a-4*a^2
-y^2+13*y*b-2*b^2
How do you in partial fractions?:
(x^2-x-2)/(x-2)
x^2/(x-2)^2
(x^2)/(1+x)
(((w^2)*25*10^-10)^2+(w*5*10^-5)^2)/(1+(w^2)*25*10^-10)^2
Identical expressions
x^ four - four *x^ three + six *x^ two - four *x- fifteen
x to the power of 4 minus 4 multiply by x cubed plus 6 multiply by x squared minus 4 multiply by x minus 15
x to the power of four minus four multiply by x to the power of three plus six multiply by x to the power of two minus four multiply by x minus fifteen
x4-4*x3+6*x2-4*x-15
x⁴-4*x³+6*x²-4*x-15
x to the power of 4-4*x to the power of 3+6*x to the power of 2-4*x-15
x^4-4x^3+6x^2-4x-15
x4-4x3+6x2-4x-15
Similar expressions
x^4-4*x^3+6*x^2+4*x-15
x^4-4*x^3-6*x^2-4*x-15
x^4+4*x^3+6*x^2-4*x-15
x^4-4*x^3+6*x^2-4*x+15

Factor polynomial x^4-4x^3+6x^2-4*x-15

You have entered [src]

 4      3      2           
x  - 4*x  + 6*x  - 4*x - 15

$$\left(- 4 x + \left(6 x^{2} + \left(x^{4} - 4 x^{3}\right)\right)\right) - 15$$

x^4 - 4*x^3 + 6*x^2 - 4*x - 15

General simplification [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Factorization [src]

(x + 1)*(x - 3)*(x + -1 + 2*I)*(x + -1 - 2*I)

$$\left(x - 3\right) \left(x + 1\right) \left(x + \left(-1 + 2 i\right)\right) \left(x + \left(-1 - 2 i\right)\right)$$

(((x + 1)*(x - 3))*(x - 1 + 2*i))*(x - 1 - 2*i)

Numerical answer [src]

-15.0 + x^4 + 6.0*x^2 - 4.0*x - 4.0*x^3

-15.0 + x^4 + 6.0*x^2 - 4.0*x - 4.0*x^3

Assemble expression [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Combinatorics [src]

                 /     2      \
(1 + x)*(-3 + x)*\5 + x  - 2*x/

$$\left(x - 3\right) \left(x + 1\right) \left(x^{2} - 2 x + 5\right)$$

(1 + x)*(-3 + x)*(5 + x^2 - 2*x)

Trigonometric part [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Rational denominator [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Common denominator [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Powers [src]

       4            3      2
-15 + x  - 4*x - 4*x  + 6*x

$$x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 15$$

-15 + x^4 - 4*x - 4*x^3 + 6*x^2

Combining rational expressions [src]

-15 + x*(-4 + x*(6 + x*(-4 + x)))

$$x \left(x \left(x \left(x - 4\right) + 6\right) - 4\right) - 15$$

-15 + x*(-4 + x*(6 + x*(-4 + x)))

Factor polynomial x^4-4*x^3+6*x^2-4*x-15