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

Step 1 :

Equation at the end of step 1 :

Step 2 :

Checking for a perfect cube :

2.1 x3-3x2-3x-4 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-3x2-3x-4 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: -3x-4 Group 2: -3x2+x3 Pull out from each group separately :Group 1: (3x+4) • (-1)Group 2: (x-3) • (x2)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 :

2.3 Find roots (zeroes) of : F(x) = x3-3x2-3x-4Polynomial 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 -4. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,4 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 x3-3x2-3x-4 can be divided with x-4

Polynomial Long Division :

2.4 Polynomial Long Division Dividing : x3-3x2-3x-4 ("Dividend") By : x-4 ("Divisor")

Quotient : x2+x+1 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2+x+1 The first term is, x2 its coefficient is 1 .The middle term is, +x its coefficient is 1 .The last term, "the constant", is +1 Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1 Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is 1 .

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored

Final result :