Factor 5x 15

Factor 5x 15 DEFAULT

Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step  1  :

Equation at the end of step  1  :

(5x2 - 5x) - 15

Step  2  :

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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\(1)\) \(5x-15\)

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The answer is \(5(x-3)\)
\(2)\) \(7x+28\)

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The answer is \(7(x+4)\)
\(3)\) \(3x+3\)

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The answer is \(3(x+1)\)
\(4)\) \(-3x+12\)

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The answer is \(-3(x-4)\)
\(5)\) \(-4x-20\)

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The answer is \(-4(x+5)\)
\(6)\) \(15x+15\)

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The answer is \(15(x+1)\)

Challenge Questions

\(7)\) \(\frac{2}{9}x+\frac{2}{3}\)

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The answer is \(\frac{2}{9}(x+3)\)
\(8)\) \(2.3x-4.6\)

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The answer is \(2.3(x-2)\)
\(9)\) \(1.6x+6.4\)

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The answer is \(1.6(x+4)\)
\(10)\) \(\frac{1}{4}x+\frac{1}{2}\)

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The answer is \(\frac{1}{4}(x+2)\)

See Related Pages\(\)

\(\bullet\text{ Distribution Practice}\)
\(\,\,\,\,\,\,\,\,3(x+5)=3x+15\)
\(\bullet\text{ Factoring out a GCF}\)
\(\,\,\,\,\,\,\,\,15x^3 y+18x^4 y^5=3x^3 y(5+6xy^4)\)

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\(\bullet\text{ Andymath Homepage}\)

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

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