Solution - Simplification or other simple results
x^2-2x-75
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-2x-75
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -75
Step-1 : Multiply the coefficient of the first term by the constant 1 • -75 = -75
Step-2 : Find two factors of -75 whose sum equals the coefficient of the middle term, which is -2 .
| -75 | + | 1 | = | -74 | ||
| -25 | + | 3 | = | -22 | ||
| -15 | + | 5 | = | -10 | ||
| -5 | + | 15 | = | 10 | ||
| -3 | + | 25 | = | 22 | ||
| -1 | + | 75 | = | 74 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 2x - 75
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