Solution - Simplification or other simple results

5 \cdot (x^{2} - x + 2)

5*(x^2-x+2)

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

  (5x² -  5x) +  10

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

5x² - 5x + 10 = 5 • (x² - x + 2)

Trying to factor by splitting the middle term

3.2 Factoring x² - x + 2

The first term is, x² its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

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

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

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

Final result :

  5 • (x² - x + 2)

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Canceling out