Mister Exam

Lang:

How to use it?
Factor polynomial:
x^5-2*x^4+x^3-8*x^2+16*x-8
x^5-2*x^4
x^5-2*x^3+4*x
x^5+2*x^3+2*x^2+1
Least common denominator:
x/7+y/7
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)))
sin(x)-cos(3*pi/(2-x))+cot(3*pi/(2+x))+cot(x)
sin(x)/(a*sqrt(1-cos(x)^2/(a^2)))
Factor squared:
-y^2-4*y*x-6*x^2
y^2-4*y*x-3*x^2
-y^2-4*y*x+5*x^2
-y^2-4*y*b+14*b^2
How do you in partial fractions?:
(x-6)/(x^2-36)
(x+1)/(x^3-1)
(4x(x+sqrt(x^2-1)^2))/((x+(sqrtx^2-1))^4-1)
(x^3-4)/(x-2)^2
Identical expressions
x^ five - two *x^ four +x^ three - eight *x^ two + sixteen *x- eight
x to the power of 5 minus 2 multiply by x to the power of 4 plus x cubed minus 8 multiply by x squared plus 16 multiply by x minus 8
x to the power of five minus two multiply by x to the power of four plus x to the power of three minus eight multiply by x to the power of two plus sixteen multiply by x minus eight
x5-2*x4+x3-8*x2+16*x-8
x⁵-2*x⁴+x³-8*x²+16*x-8
x to the power of 5-2*x to the power of 4+x to the power of 3-8*x to the power of 2+16*x-8
x^5-2x^4+x^3-8x^2+16x-8
x5-2x4+x3-8x2+16x-8
Similar expressions
x^5-2*x^4+x^3+8*x^2+16*x-8
x^5-2*x^4+x^3-8*x^2-16*x-8
x^5+2*x^4+x^3-8*x^2+16*x-8
x^5-2*x^4+x^3-8*x^2+16*x+8
x^5-2*x^4-x^3-8*x^2+16*x-8

Factor polynomial x^5-2x^4+x^3-8x^2+16*x-8

You have entered [src]

 5      4    3      2           
x  - 2*x  + x  - 8*x  + 16*x - 8

$$\left(16 x + \left(- 8 x^{2} + \left(x^{3} + \left(x^{5} - 2 x^{4}\right)\right)\right)\right) - 8$$

x^5 - 2*x^4 + x^3 - 8*x^2 + 16*x - 8

Factorization [src]

                /            ___\ /            ___\
(x - 1)*(x - 2)*\x + 1 + I*\/ 3 /*\x + 1 - I*\/ 3 /

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

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

General simplification [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Numerical answer [src]

-8.0 + x^3 + x^5 + 16.0*x - 2.0*x^4 - 8.0*x^2

-8.0 + x^3 + x^5 + 16.0*x - 2.0*x^4 - 8.0*x^2

Powers [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Trigonometric part [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Rational denominator [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Combining rational expressions [src]

-8 + x*(16 + x*(-8 + x*(1 + x*(-2 + x))))

$$x \left(x \left(x \left(x \left(x - 2\right) + 1\right) - 8\right) + 16\right) - 8$$

-8 + x*(16 + x*(-8 + x*(1 + x*(-2 + x))))

Combinatorics [src]

        2          /     2      \
(-1 + x) *(-2 + x)*\4 + x  + 2*x/

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

(-1 + x)^2*(-2 + x)*(4 + x^2 + 2*x)

Common denominator [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Assemble expression [src]

      3    5      2      4       
-8 + x  + x  - 8*x  - 2*x  + 16*x

$$x^{5} - 2 x^{4} + x^{3} - 8 x^{2} + 16 x - 8$$

-8 + x^3 + x^5 - 8*x^2 - 2*x^4 + 16*x

Factor polynomial x^5-2*x^4+x^3-8*x^2+16*x-8