Solution - Simplification or other simple results
7x^2-8x+10
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(((2•(x2))-5x)+6)+((5x2-3x)+4)Step 2 :
Equation at the end of step 2 :
((2x2 - 5x) + 6) + (5x2 - 3x + 4)
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring 7x2-8x+10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 7 • 10 = 70
Step-2 : Find two factors of 70 whose sum equals the coefficient of the middle term, which is -8 .
| -70 | + | -1 | = | -71 | ||
| -35 | + | -2 | = | -37 | ||
| -14 | + | -5 | = | -19 | ||
| -10 | + | -7 | = | -17 | ||
| -7 | + | -10 | = | -17 | ||
| -5 | + | -14 | = | -19 | ||
| -2 | + | -35 | = | -37 | ||
| -1 | + | -70 | = | -71 | ||
| 1 | + | 70 | = | 71 | ||
| 2 | + | 35 | = | 37 | ||
| 5 | + | 14 | = | 19 | ||
| 7 | + | 10 | = | 17 | ||
| 10 | + | 7 | = | 17 | ||
| 14 | + | 5 | = | 19 | ||
| 35 | + | 2 | = | 37 | ||
| 70 | + | 1 | = | 71 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
7x2 - 8x + 10
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