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Exercise

$\frac { n ^ { 4 } + 2 n ^ { 3 } + n ^ { 2 } } { 4 }$

Step-by-step Solution

1

Factor the polynomial $n^4+2n^3+n^2$ by it's greatest common factor (GCF): $n^2$

$\frac{n^2\left(n^2+2n+1\right)}{4}$

Final answer to the exercise

$\frac{n^2\left(n^2+2n+1\right)}{4}$

Try other ways to solve this exercise

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  • Find the derivative using the definition
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  • Find the roots
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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