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Cj1213
 3 years ago
Find x. 4x^3  6x^2 +1 =0
Cj1213
 3 years ago
Find x. 4x^3  6x^2 +1 =0

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freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know how to do synthetic division?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.01 and 1 do not work (check those first) next possibility is \(\frac{1}{2}\) check that next

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0Where does the 1/2 guess come from? just standard practice for +1 endings?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0the constant is 1 the leading coefficient is 4 possible rational zeros are fractions where the numerator divides 1 and the denominator divides 4

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0possible rational zeros are \[\pm 1,\pm\frac{1}{2},\pm\frac{1}{4}\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.01 and 1 are easiest to check because you can pretty much do it in your head after you see they don't work, i would try \(\frac{1}{2}\) and lo and behold it does work

Cj1213
 3 years ago
Best ResponseYou've already chosen the best response.0are you dividing to get this like synthetic division.

Cj1213
 3 years ago
Best ResponseYou've already chosen the best response.0I need help with the steps getting started

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353292321982:dw The biggest problem is that synth. Division is hard to show how to do on open study. This is an example if you were to check if (x1) divides 4x^3  6x^2 +1 with 4 6 0 1 as the coefficients. You basically have 1 4 6 0 1 where the first 1 is a from (xa) or (x1) which is what we are checking. so you drop the first number down 4 multiply it by 1 to get 4. Add this 4 to 6 to get 2. Multiply this again by 1 to get 2 to add this to 0 to drop a 2. Multiply this again by 1 to get 2 to add to the last 1 to get 1. Since this is not a 0 then (x1) doesn't divide 4x^3  6x^2 +1. need to try again.

Cj1213
 3 years ago
Best ResponseYou've already chosen the best response.0okay i'll figure it out it is a start.

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0Definitely write down what @satellite73 wrote down about how to choose what to check.

Cj1213
 3 years ago
Best ResponseYou've already chosen the best response.0Its been awhile since ive worked with synthetic division. all the answers are not rational. but once I get 1/2 I can take the equation and do the quadratic formula to get the other answers
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