Solution - Simplification or other simple results
7y^2+6y+5
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(((4 • (y2)) + 6y) + 5) + 3y2Step 2 :
Equation at the end of step 2 :
((22y2 + 6y) + 5) + 3y2
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring 7y2+6y+5
The first term is, 7y2 its coefficient is 7 .
The middle term is, +6y its coefficient is 6 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 7 • 5 = 35
Step-2 : Find two factors of 35 whose sum equals the coefficient of the middle term, which is 6 .
| -35 | + | -1 | = | -36 | ||
| -7 | + | -5 | = | -12 | ||
| -5 | + | -7 | = | -12 | ||
| -1 | + | -35 | = | -36 | ||
| 1 | + | 35 | = | 36 | ||
| 5 | + | 7 | = | 12 | ||
| 7 | + | 5 | = | 12 | ||
| 35 | + | 1 | = | 36 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
7y2 + 6y + 5
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