Solution - Simplification or other simple results
3x^4-7x^2+5
Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Equation at the end of step 1 :
((3 • (x4)) - 7x2) + 5Step 2 :
Equation at the end of step 2 :
(3x4 - 7x2) + 5
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring 3x4-7x2+5
The first term is, 3x4 its coefficient is 3 .
The middle term is, -7x2 its coefficient is -7 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -7 .
| -15 | + | -1 | = | -16 | ||
| -5 | + | -3 | = | -8 | ||
| -3 | + | -5 | = | -8 | ||
| -1 | + | -15 | = | -16 | ||
| 1 | + | 15 | = | 16 | ||
| 3 | + | 5 | = | 8 | ||
| 5 | + | 3 | = | 8 | ||
| 15 | + | 1 | = | 16 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
3x4 - 7x2 + 5
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