Mister Exam
Factor polynomial x^4-4*x^3-7*x^2+22*x+24
The solution
You have entered
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4 3 2 x - 4*x - 7*x + 22*x + 24
$$\left(22 x + \left(- 7 x^{2} + \left(x^{4} - 4 x^{3}\right)\right)\right) + 24$$
x^4 - 4*x^3 - 7*x^2 + 22*x + 24
Factorization
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(x + 2)*(x + 1)*(x - 3)*(x - 4)
$$\left(x + 1\right) \left(x + 2\right) \left(x - 3\right) \left(x - 4\right)$$
(((x + 2)*(x + 1))*(x - 3))*(x - 4)
General simplification
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x
Powers
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x
Combining rational expressions
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24 + x*(22 + x*(-7 + x*(-4 + x)))
$$x \left(x \left(x \left(x - 4\right) - 7\right) + 22\right) + 24$$
24 + x*(22 + x*(-7 + x*(-4 + x)))
Common denominator
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x
Combinatorics
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(1 + x)*(-4 + x)*(-3 + x)*(2 + x)
$$\left(x - 4\right) \left(x - 3\right) \left(x + 1\right) \left(x + 2\right)$$
(1 + x)*(-4 + x)*(-3 + x)*(2 + x)
Trigonometric part
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x
Rational denominator
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x
Numerical answer
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24.0 + x^4 + 22.0*x - 4.0*x^3 - 7.0*x^2
24.0 + x^4 + 22.0*x - 4.0*x^3 - 7.0*x^2
Assemble expression
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4 2 3 24 + x - 7*x - 4*x + 22*x
$$x^{4} - 4 x^{3} - 7 x^{2} + 22 x + 24$$
24 + x^4 - 7*x^2 - 4*x^3 + 22*x