Solve Simplificationorothersimpleresults 3x^4-5x^2-8 Tiger Algebra ...

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Trying to factor by splitting the middle term

3.1 Factoring 3x4-5x2-8 The first term is, 3x4 its coefficient is 3 .The middle term is, -5x2 its coefficient is -5 .The last term, "the constant", is -8 Step-1 : Multiply the coefficient of the first term by the constant 3 • -8 = -24 Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3 3x4 - 8x2 + 3x2 - 8Step-4 : Add up the first 2 terms, pulling out like factors : x2 • (3x2-8) Add up the last 2 terms, pulling out common factors : 1 • (3x2-8) Step-5 : Add up the four terms of step 4 : (x2+1) • (3x2-8) Which is the desired factorization

Trying to factor as a Difference of Squares :

3.2 Factoring: 3x2-8 Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression.Check : 3 is not a square !! Ruling : Binomial can not be factored as the difference of two perfect squares

Polynomial Roots Calculator :

3.3 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

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