Solve Simplificationorothersimpleresults (9x^5-7x^2+5x-3)+(2x^4+4x ...
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Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Equation at the end of step 1 :
((((9•(x5))-(7•(x2)))+5x)-3)+((((2•(x4))+22x3)-6x)-8)Step 2 :
Equation at the end of step 2 :
((((9•(x5))-(7•(x2)))+5x)-3)+(((2x4+22x3)-6x)-8)Step 3 :
Equation at the end of step 3 :
((((9•(x5))-7x2)+5x)-3)+(2x4+4x3-6x-8)Step 4 :
Equation at the end of step 4 :
(((32x5 - 7x2) + 5x) - 3) + (2x4 + 4x3 - 6x - 8)Step 5 :
Trying to factor by pulling out :
5.1 Factoring: 9x5+2x4+4x3-7x2-x-11 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: 4x3-7x2 Group 2: 2x4+9x5 Group 3: -x-11 Pull out from each group separately :Group 1: (4x-7) • (x2)Group 2: (9x+2) • (x4)Group 3: (x+11) • (-1) Looking for common sub-expressions : Group 1: (4x-7) • (x2) Group 3: (x+11) • (-1) Group 2: (9x+2) • (x4)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 :
5.2 Find roots (zeroes) of : F(x) = 9x5+2x4+4x3-7x2-x-11Polynomial 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 9 and the Trailing Constant is -11. The factor(s) are: of the Leading Coefficient : 1,3 ,9 of the Trailing Constant : 1 ,11 Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor |
|---|---|---|---|---|
| -1 | 1 | -1.00 | -28.00 | |
| -1 | 3 | -0.33 | -11.60 | |
| -1 | 9 | -0.11 | -10.98 | |
| -11 | 1 | -11.00 | -1426348.00 | |
| -11 | 3 | -3.67 | -5901.98 | |
| -11 | 9 | -1.22 | -47.62 | |
| 1 | 1 | 1.00 | -4.00 | |
| 1 | 3 | 0.33 | -11.90 | |
| 1 | 9 | 0.11 | -11.19 | |
| 11 | 1 | 11.00 | 1483196.00 | |
| 11 | 3 | 3.67 | 6414.77 | |
| 11 | 9 | 1.22 | 13.63 |
Polynomial Roots Calculator found no rational roots
Final result :
9x5 + 2x4 + 4x3 - 7x2 - x - 11Was this explanation helpful?
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