Solution - Simplification or other simple results
-5x^2-3x-10
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(((((3•(x2))-5x)-1)-23x2)+2x)-9Step 2 :
Equation at the end of step 2 :
((((3x2 - 5x) - 1) - 23x2) + 2x) - 9
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-5x2 - 3x - 10 = -1 • (5x2 + 3x + 10)
Trying to factor by splitting the middle term
4.2 Factoring 5x2 + 3x + 10
The first term is, 5x2 its coefficient is 5 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 5 • 10 = 50
Step-2 : Find two factors of 50 whose sum equals the coefficient of the middle term, which is 3 .
| -50 | + | -1 | = | -51 | ||
| -25 | + | -2 | = | -27 | ||
| -10 | + | -5 | = | -15 | ||
| -5 | + | -10 | = | -15 | ||
| -2 | + | -25 | = | -27 | ||
| -1 | + | -50 | = | -51 | ||
| 1 | + | 50 | = | 51 | ||
| 2 | + | 25 | = | 27 | ||
| 5 | + | 10 | = | 15 | ||
| 10 | + | 5 | = | 15 | ||
| 25 | + | 2 | = | 27 | ||
| 50 | + | 1 | = | 51 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-5x2 - 3x - 10
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