Solution - Simplification or other simple results
3*(x^2+2x+3)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(3x2 + 6x) + 9
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
3x2 + 6x + 9 = 3 • (x2 + 2x + 3)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 2x + 3
The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
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 2 .
| -3 | + | -1 | = | -4 | ||
| -1 | + | -3 | = | -4 | ||
| 1 | + | 3 | = | 4 | ||
| 3 | + | 1 | = | 4 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
3 • (x2 + 2x + 3)
How did we do?
Please leave us feedback.