Solution - Simplification or other simple results
Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Polynomial Roots Calculator :
1.1 Find roots (zeroes) of : F(n) = n2+30
Polynomial Roots Calculator is a set of methods aimed at finding values of n for which F(n)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers n 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 1 and the Trailing Constant is 30.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,5 ,6 ,10 ,15 ,30
Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor | |||||
|---|---|---|---|---|---|---|---|---|---|
| -1 | 1 | -1.00 | 31.00 | ||||||
| -2 | 1 | -2.00 | 34.00 | ||||||
| -3 | 1 | -3.00 | 39.00 | ||||||
| -5 | 1 | -5.00 | 55.00 | ||||||
| -6 | 1 | -6.00 | 66.00 | ||||||
| -10 | 1 | -10.00 | 130.00 | ||||||
| -15 | 1 | -15.00 | 255.00 | ||||||
| -30 | 1 | -30.00 | 930.00 | ||||||
| 1 | 1 | 1.00 | 31.00 | ||||||
| 2 | 1 | 2.00 | 34.00 | ||||||
| 3 | 1 | 3.00 | 39.00 | ||||||
| 5 | 1 | 5.00 | 55.00 | ||||||
| 6 | 1 | 6.00 | 66.00 | ||||||
| 10 | 1 | 10.00 | 130.00 | ||||||
| 15 | 1 | 15.00 | 255.00 | ||||||
| 30 | 1 | 30.00 | 930.00 |
Polynomial Roots Calculator found no rational roots
Final result :
n2 + 30
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