# Factor 5x 15

## Simplification or other simple results

### Reformatting the input :

(1): "x2"   was replaced by   "x^2".

(5x2 - 5x) - 15

### Step  3  :

#### Pulling out like terms :

3.1     Pull out like factors :

5x2 - 5x - 15  =   5 • (x2 - x - 3)

#### Trying to factor by splitting the middle term

3.2     Factoring  x2 - x - 3

The first term is,  x2  its coefficient is  1 .
The middle term is,  -x  its coefficient is  -1 .
The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

 -3 + 1 = -2 -1 + 3 = 2

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

### Final result :

5 • (x2 - x - 3)
Sours: https://www.tiger-algebra.com/drill/5x2-5x-15/

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## Factors

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• Sours: https://www.jiskha.com/questions/608986/factor-by-grouping-x-3-3x-2-5x-15-i-get-x-2-x-3-5-x-3-is-this-correct

### Most Used Actions

 \mathrm{simplify} \mathrm{solve\:for} \mathrm{expand} \mathrm{factor} \mathrm{rationalize}
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### Examples

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5x+15

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Sours: https://www.symbolab.com/solver/factor-calculator/5x%2B15

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### What is factoring?

A polynomial with rational coefficients can sometimes be written as a product of lower-degree polynomials that also have rational coefficients. In such cases, the polynomial is said to "factor over the rationals." Factoring is a useful way to find rational roots (which correspond to linear factors) and simple roots involving square roots of integers (which correspond to quadratic factors).

Polynomials with rational coefficients always have as many roots, in the complex plane, as their degree; however, these roots are often not rational numbers. In such cases, the polynomial will not factor into linear polynomials.

Rational functions are quotients of polynomials. Like polynomials, rational functions play a very important role in mathematics and the sciences. Just as with rational numbers, rational functions are usually expressed in "lowest terms." For a given numerator and denominator pair, this involves finding their greatest common divisor polynomial and removing it from both the numerator and denominator.

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Factor the Expression that Defines the Function f(x) = 3x^3 - 9x^2 + 5x - 15

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