Solution - Simplification or other simple results
2a^2+5a+10
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5a + 2a2) + 10
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2a2+5a+10
The first term is, 2a2 its coefficient is 2 .
The middle term is, +5a its coefficient is 5 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 2 • 10 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 5 .
| -20 | + | -1 | = | -21 | ||
| -10 | + | -2 | = | -12 | ||
| -5 | + | -4 | = | -9 | ||
| -4 | + | -5 | = | -9 | ||
| -2 | + | -10 | = | -12 | ||
| -1 | + | -20 | = | -21 | ||
| 1 | + | 20 | = | 21 | ||
| 2 | + | 10 | = | 12 | ||
| 4 | + | 5 | = | 9 | ||
| 5 | + | 4 | = | 9 | ||
| 10 | + | 2 | = | 12 | ||
| 20 | + | 1 | = | 21 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2a2 + 5a + 10
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