Solution - Simplification or other simple results
6r^2+3r+4
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(((2•3r2) + 4) + 2r) + r
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 6r2+3r+4
The first term is, 6r2 its coefficient is 6 .
The middle term is, +3r its coefficient is 3 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 6 • 4 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is 3 .
| -24 | + | -1 | = | -25 | ||
| -12 | + | -2 | = | -14 | ||
| -8 | + | -3 | = | -11 | ||
| -6 | + | -4 | = | -10 | ||
| -4 | + | -6 | = | -10 | ||
| -3 | + | -8 | = | -11 | ||
| -2 | + | -12 | = | -14 | ||
| -1 | + | -24 | = | -25 | ||
| 1 | + | 24 | = | 25 | ||
| 2 | + | 12 | = | 14 | ||
| 3 | + | 8 | = | 11 | ||
| 4 | + | 6 | = | 10 | ||
| 6 | + | 4 | = | 10 | ||
| 8 | + | 3 | = | 11 | ||
| 12 | + | 2 | = | 14 | ||
| 24 | + | 1 | = | 25 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
6r2 + 3r + 4
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