Mister Exam

Lang:

How to use it?
Factor polynomial:
x^4-4-3*a*x+6*a
x^4-3*x
x^4/2-x-x^2/2
x^4-2*x-6*x^2+5*x+2
Least common denominator:
((a*sqrt(a)+b*sqrt(b))/(sqrt(a)+sqrt(b)))/(a-b)+(2*sqrt(b))/(sqrt(a)+sqrt(b))
sqrt(b^2*((1-(b^2-a^2)/(b^2+a^2))^2+(2*a-b*sqrt(1-((b-a)*(b+a)/(b^2+a^2))^2)^2)))
(n/((p-4)*(p-4)))-(8/((4-p)*(4-p)))
log((2*x-6^(3/2)+16)/(2*x+6^(3/2)+16))/6^(3/2)
Factor squared:
x^2-x*t+t^2
x^2-x*a+12*a^2
-x^2+x+8
-x^2-x*b+15*b^2
How do you in partial fractions?:
1/(x^4+x^2)
x^2/(1-x^4)
(w*i*0.00005)/(1+w*i*0.00005)
w^2/(w-6)-12*w-36/(w-6)
Identical expressions
x^ four + two *x^ three -x^ two - two *x+ one
x to the power of 4 plus 2 multiply by x cubed minus x squared minus 2 multiply by x plus 1
x to the power of four plus two multiply by x to the power of three minus x to the power of two minus two multiply by x plus one
x4+2*x3-x2-2*x+1
x⁴+2*x³-x²-2*x+1
x to the power of 4+2*x to the power of 3-x to the power of 2-2*x+1
x^4+2x^3-x^2-2x+1
x4+2x3-x2-2x+1
Similar expressions
x^4+2*x^3+x^2-2*x+1
x^4+2*x^3-x^2-2*x-1
x^4+2*x^3-x^2+2*x+1
x^4-2*x^3-x^2-2*x+1

Factor polynomial x^4+2x^3-x^2-2x+1

You have entered [src]

 4      3    2          
x  + 2*x  - x  - 2*x + 1

$$\left(- 2 x + \left(- x^{2} + \left(x^{4} + 2 x^{3}\right)\right)\right) + 1$$

x^4 + 2*x^3 - x^2 - 2*x + 1

Factorization [src]

/          ___\ /          ___\
|    1   \/ 5 | |    1   \/ 5 |
|x + - - -----|*|x + - + -----|
\    2     2  / \    2     2  /

$$\left(x + \left(\frac{1}{2} - \frac{\sqrt{5}}{2}\right)\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{5}}{2}\right)\right)$$

(x + 1/2 - sqrt(5)/2)*(x + 1/2 + sqrt(5)/2)

General simplification [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Assemble expression [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Combining rational expressions [src]

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

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

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

Numerical answer [src]

1.0 + x^4 - x^2 + 2.0*x^3 - 2.0*x

1.0 + x^4 - x^2 + 2.0*x^3 - 2.0*x

Combinatorics [src]

             2
/          2\ 
\-1 + x + x /

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

(-1 + x + x^2)^2

Common denominator [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Trigonometric part [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Powers [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Rational denominator [src]

     4    2            3
1 + x  - x  - 2*x + 2*x

$$x^{4} + 2 x^{3} - x^{2} - 2 x + 1$$

1 + x^4 - x^2 - 2*x + 2*x^3

Factor polynomial x^4+2*x^3-x^2-2*x+1