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 :
(2•3d5) - (2 - 3d)
Step 2 :
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(d) = 6d5+3d-2
Polynomial Roots Calculator is a set of methods aimed at finding values of d for which F(d)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers d 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 6 and the Trailing Constant is -2.
The factor(s) are:
of the Leading Coefficient : 1,2 ,3 ,6
of the Trailing Constant : 1 ,2
Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor | |||||
|---|---|---|---|---|---|---|---|---|---|
| -1 | 1 | -1.00 | -11.00 | ||||||
| -1 | 2 | -0.50 | -3.69 | ||||||
| -1 | 3 | -0.33 | -3.02 | ||||||
| -1 | 6 | -0.17 | -2.50 | ||||||
| -2 | 1 | -2.00 | -200.00 | ||||||
| -2 | 3 | -0.67 | -4.79 | ||||||
| 1 | 1 | 1.00 | 7.00 | ||||||
| 1 | 2 | 0.50 | -0.31 | ||||||
| 1 | 3 | 0.33 | -0.98 | ||||||
| 1 | 6 | 0.17 | -1.50 | ||||||
| 2 | 1 | 2.00 | 196.00 | ||||||
| 2 | 3 | 0.67 | 0.79 |
Polynomial Roots Calculator found no rational roots
Final result :
6d5 + 3d - 2
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