Solve Simplificationorothersimpleresults X3-4x2-3x-1 Tiger Algebra ...
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Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step 1 :
Equation at the end of step 1 :
(((x3) - 22x2) - 3x) - 1Step 2 :
Checking for a perfect cube :
2.1 x3-4x2-3x-1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-3x-1 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: -3x-1 Group 2: x3-4x2 Pull out from each group separately :Group 1: (3x+1) • (-1)Group 2: (x-4) • (x2)Bad news !! Factoring by pulling out fails : The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3-4x2-3x-1Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0 Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integersThe Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading CoefficientIn this case, the Leading Coefficient is 1 and the Trailing Constant is -1. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor |
|---|---|---|---|---|
| -1 | 1 | -1.00 | -3.00 | |
| 1 | 1 | 1.00 | -7.00 |
Polynomial Roots Calculator found no rational roots
Final result :
x3 - 4x2 - 3x - 1How did we do?
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- Canceling out
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