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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
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Evaluate
\frac{7}{x\left(x-6\right)\left(x-2\right)\left(x+3\right)}
Differentiate w.r.t. x
\frac{7\left(-4x^{3}+15x^{2}+24x-36\right)}{\left(x\left(x-6\right)\left(x-2\right)\left(x+3\right)\right)^{2}}
Graph
Quiz
Polynomial
5 problems similar to:
f ( x ) = \frac { 7 } { ( x ^ { 4 } - 5 x ^ { 3 } - 12 x ^ { 2 } + 36 x ) }
Similar Problems from Web Search
x^3-2x^2+36x-72/(x^2+36)
https://www.tiger-algebra.com/drill/x~3-2x~2_36x-72/(x~2_36)/
x3-2x2+36x-72/(x2+36) Final result : x5 - 2x4 + 72x3 - 72x2 + 1296x - 72 ——————————————————————————————————— x2 + 36 Step by step solution : Step 1 : 72 Simplify ——————— x2 + 36 Polynomial Roots ...
How do you divide \displaystyle\frac{{{7}{x}^{{4}}-{5}{x}^{{3}}-{5}{x}^{{2}}+{x}-{2}}}{{{\left({x}+{4}\right)}}} ?
https://socratic.org/questions/how-do-you-divide-7x-4-5x-3-5x-2-x-2-x-4
\displaystyle{7}{x}^{{3}}-{33}{x}^{{2}}+{127}{x}+{507}-\frac{{2030}}{{{x}+{4}}} Explanation: \displaystyle\ \text{ }\ {7}{x}^{{4}}-{\left({2}\right)}{5}{x}^{{3}}-{5}{x}^{{2}}+{x}-{2} \displaystyle{\left({7}{x}^{{3}}\right)}{\left({x}+{4}\right)}\to\underline{{{7}{x}^{{4}}+{28}{x}^{{3}}}}\leftarrow\ \text{ subtract} ...
How do you divide \displaystyle\frac{{{x}^{{3}}+{2}{x}^{{2}}-{11}{x}-{12}}}{{{x}^{{2}}-{3}{x}+{2}}} ?
https://socratic.org/questions/how-do-you-divide-x-3-2x-2-11x-12-x-2-3x-2
Long divide coefficients to find: \displaystyle\frac{{{x}^{{3}}+{2}{x}^{{2}}-{11}{x}-{12}}}{{{x}^{{2}}-{3}{x}+{2}}}={x}+{5}+\frac{{{2}{x}-{22}}}{{{x}^{{2}}-{3}{x}+{2}}} Explanation: You can ...
How do you divide \displaystyle\frac{{{2}{x}^{{4}}+{5}{x}^{{3}}-{2}{x}^{{2}}+{5}{x}+{3}}}{{{x}-{1}}} ?
https://socratic.org/questions/how-do-you-divide-2x-4-5x-3-2x-2-5x-3-x-1
Long division or synthetic division \displaystyle{2}{x}^{{3}}+{7}{x}^{{2}}+{5}{x}+{10}+\frac{{13}}{{{x}-{1}}} Explanation: Given: \displaystyle\frac{{{2}{x}^{{4}}+{5}{x}^{{3}}-{2}{x}^{{2}}+{5}{x}+{3}}}{{{x}-{1}}} ...
5x^3-12x^2+36/5x-2/5
https://www.tiger-algebra.com/drill/5x~3-12x~2_36/5x-2/5/
5x3-12x2+36/5x-2/5 Final result : 25x3 - 60x2 + 36x - 2 ————————————————————— 5 Step by step solution : Step 1 : 2 Simplify — 5 Equation at the end of step 1 : 36 2 ...
How do you simplify \displaystyle\frac{{{8}{x}^{{3}}-{12}{x}^{{2}}+{6}{x}-{9}}}{{{16}{x}^{{4}}-{9}}} ?
https://socratic.org/questions/how-do-you-simplify-8x-3-12x-2-6x-9-16x-4-9
\displaystyle\frac{{{2}{x}-{3}}}{{{4}{x}^{{2}}-{3}}} Explanation: \displaystyle\frac{{{8}{x}^{{3}}-{12}{x}^{{2}}+{6}{x}-{9}}}{{{16}{x}^{{4}}-{9}}} \displaystyle=\frac{{{8}{x}^{{3}}+{6}{x}-{12}{x}^{{2}}-{9}}}{{{\left({4}{x}^{{2}}\right)}^{{2}}-{3}^{{2}}}} ...
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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