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Solution - Simplification or other simple results
4x^2+2x+1
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(22x2 + 2x) + 1
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4x2+2x+1
The first term is, 4x2 its coefficient is 4 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 4 • 1 = 4
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 2 .
-4 | + | -1 | = | -5 | ||
-2 | + | -2 | = | -4 | ||
-1 | + | -4 | = | -5 | ||
1 | + | 4 | = | 5 | ||
2 | + | 2 | = | 4 | ||
4 | + | 1 | = | 5 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
4x2 + 2x + 1
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