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anonymous
 5 years ago
How do you use the given root to assist in finding the remaining roots of the equation?
2x^4  15x^3 + 34x^2  19x  20 = 0; 1/2
anonymous
 5 years ago
How do you use the given root to assist in finding the remaining roots of the equation? 2x^4  15x^3 + 34x^2  19x  20 = 0; 1/2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0divide. if \[\frac{1}{2}\] is a root then you know your polynomial is \[(x\frac{1}{2})q(x)\] or more easily written as \[p(x)=(2x1)q(x)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you find \[q(x)\] by dividing by \[(x\frac{1}{2})\] synthetic division is easiest

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how to use synthetic division?

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0These are the synthetic division steps. You know to use synthetic division because you are given a factor of polynomial. It's like saying "458 is divisible by 2... what is the remainder when divisible by 2?) Did you copy your polynomial correctly? You are left with a third degree polynomial which has complex roots... Usually the problems give "Friendlier" answers. :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if this is correct there must be a typo somewhere because you (wolfram) got a remainder of 91/4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0remainder should be 0 of course

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Jennifer  I think you might have miscopied the problem. The answer is ... too ugly for something which might be assigned for a practice/hw or even test problem.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in any case 1/2 is not a zero according to wolfram

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh wow, after the equation, the 1/2 is a negative..I am so sorry..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02x^4  15x^3 + 34x^2  19x  20 = 0; 1/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohhhhhhhhhhhhhhhhhhhh 1/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You sure are one smart cookie to notice that. My goodness; i sure wish I could get math as easy as you .

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0That makes more sense, but you're still going to be left with a 3rd degree polynomial... And that 3rd order polynomial will not be very easy to solve.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then it factors as \[(x+\frac{1}{2})q(x)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0btw you can find the quotient relatively easily. very easy if you can synthetic division

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how? long division is a pain.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a little bit..i'm bad..really

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0list the coefficients they are 2 15 34 19 20

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since you root is 1/2 put that on the side. i will write .5 2 15 34 19 20 .5 ___________________________________

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0drop the 2 2 15 34 19 20 .5 ___________________________________ 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0.5*1 2 15 34 19 20 .5 1 ___________________________________ 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0151=16 2 15 34 19 20 .5 1 ___________________________________ 2 16

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.016*.5 = 8 2 15 34 19 20 .5 1 8 ___________________________________ 2 16

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.034 + 8 = 42 2 15 34 19 20 .5 1 8 ___________________________________ 2 16 42

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0.5*42=21 2 15 34 19 20 .5 1 8 21 ___________________________________ 2 16 42

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01921=40 2 15 34 19 20 .5 1 8 21 ___________________________________ 2 16 42 40

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0.5*40= 20 and now i see i have a typo. the last number in the top line should be 20, not 20 easy to fix 2 15 34 19  20 .5 1 8 21 20 ___________________________________ 2 16 42 40

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.020+20=0 so the remainder is 0 \ 2 15 34 19  20 .5 1 8 21 20 ___________________________________ 2 16 42 40 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and your answer is \[p(x)=(x+\frac{1}{2})(2x^316x^2+42x40)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or \[p(x)=(2x1)(x^38x^2+21x10)\]
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