Solve Polynomiallongdivision 2x^4+5x^3-7x-4 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 2x4+5x3-7x-4 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x4+5x3-7x-4 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: -7x-4 Group 2: 2x4+5x3 Pull out from each group separately :Group 1: (7x+4) • (-1)Group 2: (2x+5) • (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) = 2x4+5x3-7x-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 2 and the Trailing Constant is -4. The factor(s) are: of the Leading Coefficient : 1,2 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 2x4+5x3-7x-4 can be divided with x+1

Polynomial Long Division :

3.4 Polynomial Long Division Dividing : 2x4+5x3-7x-4 ("Dividend") By : x+1 ("Divisor")

Quotient : 2x3+3x2-3x-4 Remainder: 0

Polynomial Roots Calculator :

3.5 Find roots (zeroes) of : F(x) = 2x3+3x2-3x-4 See theory in step 3.3 In this case, the Leading Coefficient is 2 and the Trailing Constant is -4. The factor(s) are: of the Leading Coefficient : 1,2 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 2x3+3x2-3x-4 can be divided with x+1

Polynomial Long Division :

3.6 Polynomial Long Division Dividing : 2x3+3x2-3x-4 ("Dividend") By : x+1 ("Divisor")

Quotient : 2x2+x-4 Remainder: 0

Trying to factor by splitting the middle term

3.7 Factoring 2x2+x-4 The first term is, 2x2 its coefficient is 2 .The middle term is, +x its coefficient is 1 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 2 • -4 = -8 Step-2 : Find two factors of -8 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

Multiplying Exponential Expressions :

3.8 Multiply (x+1) by (x+1) The rule says : To multiply exponential expressions which have the same base, add up their exponents.In our case, the common base is (x+1) and the exponents are : 1 , as (x+1) is the same number as (x+1)1 and 1 , as (x+1) is the same number as (x+1)1 The product is therefore, (x+1)(1+1) = (x+1)2

Final result :