Solution - Simplification or other simple results
4x^2+7x+10
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(((22x2 + 6x) + 8) + x) + 2
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4x2+7x+10
The first term is, 4x2 its coefficient is 4 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 4 • 10 = 40
Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is 7 .
| -40 | + | -1 | = | -41 | ||
| -20 | + | -2 | = | -22 | ||
| -10 | + | -4 | = | -14 | ||
| -8 | + | -5 | = | -13 | ||
| -5 | + | -8 | = | -13 | ||
| -4 | + | -10 | = | -14 | ||
| -2 | + | -20 | = | -22 | ||
| -1 | + | -40 | = | -41 | ||
| 1 | + | 40 | = | 41 | ||
| 2 | + | 20 | = | 22 | ||
| 4 | + | 10 | = | 14 | ||
| 5 | + | 8 | = | 13 | ||
| 8 | + | 5 | = | 13 | ||
| 10 | + | 4 | = | 14 | ||
| 20 | + | 2 | = | 22 | ||
| 40 | + | 1 | = | 41 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
4x2 + 7x + 10
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