Solve Simplificationorothersimpleresults 4x^4-32x^2-225 Tiger ...

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Equation at the end of step 1 :

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Equation at the end of step 2 :

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Trying to factor by splitting the middle term

3.1 Factoring 4x4-32x2-225 The first term is, 4x4 its coefficient is 4 .The middle term is, -32x2 its coefficient is -32 .The last term, "the constant", is -225 Step-1 : Multiply the coefficient of the first term by the constant 4 • -225 = -900 Step-2 : Find two factors of -900 whose sum equals the coefficient of the middle term, which is -32 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -50 and 18 4x4 - 50x2 + 18x2 - 225Step-4 : Add up the first 2 terms, pulling out like factors : 2x2 • (2x2-25) Add up the last 2 terms, pulling out common factors : 9 • (2x2-25) Step-5 : Add up the four terms of step 4 : (2x2+9) • (2x2-25) Which is the desired factorization

Trying to factor as a Difference of Squares :

3.2 Factoring: 2x2-25 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 : 2 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) = 2x2+9Polynomial 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 9. The factor(s) are: of the Leading Coefficient : 1,2 of the Trailing Constant : 1 ,3 ,9 Let us test ....

Polynomial Roots Calculator found no rational roots

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