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Factor polynomial:
-x^7+x^6/4+9*x^5/8-9*x^4/32-x^3/8+x^2/32
x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4
x^7-4*x^5+6*x^3-4*x
x^7-3*x^6+8*x^2
Least common denominator:
((u^2-2*u+4)/(4*u^2-1)*(2*u^2+u)/(u^3+8)-(u+2/2*u^2-u))/7/(u^2+2*u)-(10*u+1)/(7-14*u)
t/(t-7)-7/(7-t)
sqrt((x-3)/(x+3))*(x+3)*(1/(2*(x+3))-(x-3)/(2*(x+3)^2))/(x-3)
sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))+(x^3+1/(sqrt(x)))/(2*sqrt(x))
Factor squared:
-y^2-7*y*x-x^2
-y^2-7*y*x-15*x^2
-y^2+7*y*x+7*x^2
y^2-7*y*x+5*x^2
How do you in partial fractions?:
(a^4-10*a^2+169)/(a^2+6*a+13)
((3*x+2)^4+12*(3*x+2)^3*(x-1))/(3*x-2)^4-12*(3*x+2)^4*(x-1)/(3*x-2)^5
((x+3)/(x-1))^2+14(x^2-9)/(x^2-1)-15((x-3)/(x+1))^2
((x+12)/(x^(3)-9x))/(((x-3)/(2x^2+5x-3))-(9/(9-x^2)))
Derivative of:
x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4
Identical expressions
x^ seven + four *x^ six + four *x^ five + two *x^ four + four *x^ three + three *x^ two + three *x+ four
x to the power of 7 plus 4 multiply by x to the power of 6 plus 4 multiply by x to the power of 5 plus 2 multiply by x to the power of 4 plus 4 multiply by x cubed plus 3 multiply by x squared plus 3 multiply by x plus 4
x to the power of seven plus four multiply by x to the power of six plus four multiply by x to the power of five plus two multiply by x to the power of four plus four multiply by x to the power of three plus three multiply by x to the power of two plus three multiply by x plus four
x7+4*x6+4*x5+2*x4+4*x3+3*x2+3*x+4
x⁷+4*x⁶+4*x⁵+2*x⁴+4*x³+3*x²+3*x+4
x to the power of 7+4*x to the power of 6+4*x to the power of 5+2*x to the power of 4+4*x to the power of 3+3*x to the power of 2+3*x+4
x^7+4x^6+4x^5+2x^4+4x^3+3x^2+3x+4
x7+4x6+4x5+2x4+4x3+3x2+3x+4
Similar expressions
x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x-4
x^7+4*x^6+4*x^5+2*x^4-4*x^3+3*x^2+3*x+4
x^7-4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4
x^7+4*x^6+4*x^5+2*x^4+4*x^3-3*x^2+3*x+4
x^7+4*x^6+4*x^5-2*x^4+4*x^3+3*x^2+3*x+4
x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2-3*x+4
x^7+4*x^6-4*x^5+2*x^4+4*x^3+3*x^2+3*x+4

Expression simplification/ Factorization polynomials/ x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4

Factor polynomial x^7+4x^6+4x^5+2x^4+4x^3+3x^2+3x+4

The solution

You have entered [src]

 7      6      5      4      3      2          
x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4

$$\left(3 x + \left(3 x^{2} + \left(4 x^{3} + \left(2 x^{4} + \left(4 x^{5} + \left(x^{7} + 4 x^{6}\right)\right)\right)\right)\right)\right) + 4$$

x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4

General simplification [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Factorization [src]

/           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\ /           / 7      6      5      4      3      2             \\
\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 0//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 1//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 2//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 3//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 4//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 5//*\x - CRootOf\x  + 4*x  + 4*x  + 2*x  + 4*x  + 3*x  + 3*x + 4, 6//

$$\left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 4\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 5\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4, 6\right)}\right)$$

((((((x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 0))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 1)))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 2)))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 3)))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 4)))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 5)))*(x - CRootOf(x^7 + 4*x^6 + 4*x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 3*x + 4, 6))

Numerical answer [src]

4.0 + x^7 + 2.0*x^4 + 4.0*x^3 + 4.0*x^5 + 4.0*x^6 + 3.0*x + 3.0*x^2

4.0 + x^7 + 2.0*x^4 + 4.0*x^3 + 4.0*x^5 + 4.0*x^6 + 3.0*x + 3.0*x^2

Rational denominator [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Combining rational expressions [src]

4 + x*(3 + x*(3 + x*(4 + x*(2 + x*(4 + x*(4 + x))))))

$$x \left(x \left(x \left(x \left(x \left(x \left(x + 4\right) + 4\right) + 2\right) + 4\right) + 3\right) + 3\right) + 4$$

4 + x*(3 + x*(3 + x*(4 + x*(2 + x*(4 + x*(4 + x))))))

Assemble expression [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Combinatorics [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Trigonometric part [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Common denominator [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

Powers [src]

     7      4            2      3      5      6
4 + x  + 2*x  + 3*x + 3*x  + 4*x  + 4*x  + 4*x

$$x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 4$$

4 + x^7 + 2*x^4 + 3*x + 3*x^2 + 4*x^3 + 4*x^5 + 4*x^6

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How to use it?

Identical expressions

Similar expressions

Factor polynomial x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4

The solution

Factor polynomial x^7+4x^6+4x^5+2x^4+4x^3+3x^2+3x+4