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find all the zeros of the function and write the function as a product of its linear factors.
f(x)=3x^4 +2x^3 28x^2 14x+56
 2 years ago
 2 years ago
find all the zeros of the function and write the function as a product of its linear factors. f(x)=3x^4 +2x^3 28x^2 14x+56
 2 years ago
 2 years ago

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satellite73Best ResponseYou've already chosen the best response.0
sure you typed it in right?
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
no lol its f(x)=3x^4 +2x^329x^214x+56
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
good then cheat http://www.wolframalpha.com/input/?i=+f%28x%29%3D3x^4+%2B2x^329x^214x%2B56
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
your supposed to do something else with it...i forgot whats it called but u gotta pull all the number out then find the zeros
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
zeros are 2, 4/3, and +/ root 7
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
factor. it is given to you in factored form. once you know 2 is a zero you factor as (x+2) something. you find the something by division
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
ohh its synthetic divison could do show it by that
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i would hate to have to do this by hand.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
yes synthetic division list the coefficients. 3 2 28 14 56
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
put a 2 on the side 3 2 28 14 56 2 ______________________________________
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
no its 3 2 29 14 56
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
where did u get the 2 from the side from?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
bring down the three 3 2 29 14 56 2 ______________________________________ 3
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
no wait wheredid u get the 2 from
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
3*2=6 3 2 29 14 56 2 6 ______________________________________ 3
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i got the 2 because i know 2 is a zero. you have to know that to begin with!
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
2 + 6 = 4 3 2 29 14 56 2 6 ______________________________________ 3 4
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
wait ok this is what i did i got all the numbers i know what to do i just dont know where u got the 2 from
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
4*2=8 3 2 29 14 56 2 6 8 ______________________________________ 3 4
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
in order to divide i must first know a zero of this function. if i do not i cannot divide. i am dividing by x + 2
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
29 + 8 = 21 3 2 29 14 56 2 6 8 ______________________________________ 3 4 21
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
ok we know that f(2)=0 so we know f factors as (x+2) q(x) we are trying to find q(x)
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
we find q(x) by dividing f(x) by x + 2 which is what this synthetic division is doing
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
if we do not know a zero we do not know what to divide by
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i know it is a zero because i cheated and used wolfram alpha. if i had to do it by hand i don't know what i would do. maybe graph it on a calculator and surmise that it crosses the x axis at 2
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
the factored form of this beast is \[(x+2)(3x4)(x^2  7)\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i am just factoring out the x + 2 at the moment.
 2 years ago

animalsavior94Best ResponseYou've already chosen the best response.0
so what are the zeros if it ended with 3 4 21 28 0 ?
 2 years ago
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