Solve Simplificationorothersimpleresults (-4x^3-8x^2-4x-8)/(-12x^3 ...

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Equation at the end of step 3 :

Step 4 :

Equation at the end of step 4 :

Step 5 :

Step 6 :

Pulling out like terms :

6.1 Pull out like factors : -4x3 - 8x2 - 4x - 8 = -4 • (x3 + 2x2 + x + 2)

Checking for a perfect cube :

6.2 x3 + 2x2 + x + 2 is not a perfect cube

Trying to factor by pulling out :

6.3 Factoring: x3 + 2x2 + x + 2 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x + 2 Group 2: x3 + 2x2 Pull out from each group separately :Group 1: (x + 2) • (1)Group 2: (x + 2) • (x2) -------------------Add up the two groups : (x + 2) • (x2 + 1) Which is the desired factorization

Step 7 :

Pulling out like terms :

7.1 Pull out like factors : -12x3 - 12x2 - 12x - 12 = -12 • (x3 + x2 + x + 1)

Checking for a perfect cube :

7.2 x3 + x2 + x + 1 is not a perfect cube

Trying to factor by pulling out :

7.3 Factoring: x3 + x2 + x + 1 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x + 1 Group 2: x3 + x2 Pull out from each group separately :Group 1: (x + 1) • (1)Group 2: (x + 1) • (x2) -------------------Add up the two groups : (x + 1) • (x2 + 1) Which is the desired factorization

Polynomial Roots Calculator :

7.4 Find roots (zeroes) of : F(x) = x2 + 1Polynomial 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 1. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 Let us test ....

Polynomial Roots Calculator found no rational roots

Polynomial Roots Calculator :

7.5 Find roots (zeroes) of : F(x) = x2 + 1 See theory in step 7.4 In this case, the Leading Coefficient is 1 and the Trailing Constant is 1. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 Let us test ....

Polynomial Roots Calculator found no rational roots

Canceling Out :

7.6 Cancel out (x2 + 1) which appears on both sides of the fraction line.

Step 8 :

Pulling out like terms :

8.1 Pull out like factors : -x - 2 = -1 • (x + 2)

Final result :