Solve Simplificationorothersimpleresults (9x^3-6x^2)+(12x-8) Tiger ...

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (3x2+4)⋅(3x−2) (3x^2+4)*(3x-2)

Other Ways to Solve

Simplification or other simple results

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

((9 • (x3)) - (2•3x2)) + (12x - 8)

Step 2 :

Equation at the end of step 2 :

(32x3 - (2•3x2)) + (12x - 8)

Step 3 :

Checking for a perfect cube :

3.1 9x3-6x2+12x-8 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 9x3-6x2+12x-8 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: 12x-8 Group 2: -6x2+9x3 Pull out from each group separately :Group 1: (3x-2) • (4)Group 2: (3x-2) • (3x2) -------------------Add up the two groups : (3x-2) • (3x2+4) Which is the desired factorization

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 3x2+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 3 and the Trailing Constant is 4. The factor(s) are: of the Leading Coefficient : 1,3 of the Trailing Constant : 1 ,2 ,4 Let us test ....

P	Q	P/Q	F(P/Q)	Divisor
-1	1	-1.00	7.00
-1	3	-0.33	4.33
-2	1	-2.00	16.00
-2	3	-0.67	5.33
-4	1	-4.00	52.00
-4	3	-1.33	9.33
1	1	1.00	7.00
1	3	0.33	4.33
2	1	2.00	16.00
2	3	0.67	5.33
4	1	4.00	52.00
4	3	1.33	9.33

Polynomial Roots Calculator found no rational roots

Final result :

(3x2 + 4) • (3x - 2)

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