Solve Polynomialrootcalculator X^4-3x^3-2x^2-2 Tiger Algebra Solver

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Checking for a perfect cube :

3.1 x4-3x3-2x2-2 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: x4-3x3-2x2-2 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: -2x2-2 Group 2: x4-3x3 Pull out from each group separately :Group 1: (x2+1) • (-2)Group 2: (x-3) • (x3)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 :

3.3 Find roots (zeroes) of : F(x) = x4-3x3-2x2-2Polynomial 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 -2. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 Let us test ....

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms In our case this means that x4-3x3-2x2-2 can be divided with x+1

Polynomial Long Division :

3.4 Polynomial Long Division Dividing : x4-3x3-2x2-2 ("Dividend") By : x+1 ("Divisor")

Quotient : x3-4x2+2x-2 Remainder: 0

Polynomial Roots Calculator :

3.5 Find roots (zeroes) of : F(x) = x3-4x2+2x-2 See theory in step 3.3 In this case, the Leading Coefficient is 1 and the Trailing Constant is -2. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :