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nameVoid
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any way to solve 3x^8-20x^6-12x^4+12x^2+1 by hand
nameVoid said:how did you factor that what is this cubic formula
The first step in solving this equation by hand is to factor out the greatest common factor, if possible. In this case, the greatest common factor is 1, so we can move on to the next step.
Yes, this equation can be simplified by grouping like terms. We can group the first two terms and the last two terms together, resulting in 3x^6(x^2-20)-12x^2(x^2-1). This can then be factored further to 3x^6(x^2-20)-12x^2(x+1)(x-1).
To find the roots of this equation, we need to set it equal to 0 and factor it. This will allow us to solve for the values of x that make the equation equal to 0. In this case, the roots are x=1, x=-1, and x=2.
Yes, we can use the Rational Root Theorem to quickly find potential rational roots of the equation, and then use synthetic division to test these roots and find the actual roots. This method can save time and effort when solving equations with higher degree polynomials.
Yes, you can use a calculator to solve this equation, but it is always beneficial to know how to solve equations by hand as well. Additionally, some calculators may not have the capability to factor or find roots of higher degree polynomials, so knowing how to do it by hand can be useful in those situations.