Factoring Polynomial Calculator

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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