Solution - Simplification or other simple results
Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Equation at the end of step 1 :
x - (23•19x6)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
x - 152x6 = -x • (152x5 - 1)
Polynomial Roots Calculator :
3.2 Find roots (zeroes) of : F(x) = 152x5 - 1
Polynomial 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 integers
The 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 Coefficient
In this case, the Leading Coefficient is 152 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4 ,8 ,19 ,38 ,76 ,152
of the Trailing Constant : 1
Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor | |||||
|---|---|---|---|---|---|---|---|---|---|
| -1 | 1 | -1.00 | -153.00 | ||||||
| -1 | 2 | -0.50 | -5.75 | ||||||
| -1 | 4 | -0.25 | -1.15 | ||||||
| -1 | 8 | -0.12 | -1.00 | ||||||
| -1 | 19 | -0.05 | -1.00 | ||||||
| -1 | 38 | -0.03 | -1.00 | ||||||
| -1 | 76 | -0.01 | -1.00 | ||||||
| -1 | 152 | -0.01 | -1.00 | ||||||
| 1 | 1 | 1.00 | 151.00 | ||||||
| 1 | 2 | 0.50 | 3.75 | ||||||
| 1 | 4 | 0.25 | -0.85 | ||||||
| 1 | 8 | 0.12 | -1.00 | ||||||
| 1 | 19 | 0.05 | -1.00 | ||||||
| 1 | 38 | 0.03 | -1.00 | ||||||
| 1 | 76 | 0.01 | -1.00 | ||||||
| 1 | 152 | 0.01 | -1.00 |
Polynomial Roots Calculator found no rational roots
Final result :
-x • (152x5 - 1)
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