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Factoring Polynomial Calculator - Online Calculator - Tutorpace

Factoring Polynomial Calculator

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Polynomial is a function which has different terms with different variables and constants. Factoring polynomial is a technique used to simplify any given polynomial. In factoring method we group the terms together to bring out a common factor out of them. Factoring polynomial calculator is the easy tool which can factor the given polynomial expression.


Example 1: Factor the given polynomial expression: x3 – 4x2

Given polynomial expression: x3 – 4x2

In the above two terms, we can see that ‘x’ is a common factor.

Hence > x(x2 – 4)

Now ‘x2 – 4’ is in the form of the formula > a2 – b2 = (a + b)(a – b)

x2 – 4 = (x2 – 22) = (x + 2)(x – 2)

Hence the polynomial expression can be factored as > x(x2 – 4) = x(x + 2)(x – 2)



Example 2: Factor the given polynomial expression: x4 – 3x3 – 4x2

Given polynomial expression: x4 – 3x3 – 4x2

In the above three terms, we can see that ‘x2’ is a common factor.

Hence > x2(x2 –3x - 4)

Nowx2 –3x - 4 is in the form of a quadratic equation which can be factored as          
   
(x – 4)(x + 1)

Hence  (x2 –3x - 4) = (x – 4)(x + 1)

Hence the polynomial expression can be factored as x4 – 3x3 – 4x2=x2(x – 4)(x + 1)

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