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 3 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
 3 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

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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0sure you typed it in right?

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0no lol its f(x)=3x^4 +2x^329x^214x+56

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0good then cheat http://www.wolframalpha.com/input/?i=+f%28x%29%3D3x^4+%2B2x^329x^214x%2B56

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0your supposed to do something else with it...i forgot whats it called but u gotta pull all the number out then find the zeros

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0zeros are 2, 4/3, and +/ root 7

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0factor. 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

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0ohh its synthetic divison could do show it by that

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i would hate to have to do this by hand.

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0yes synthetic division list the coefficients. 3 2 28 14 56

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0put a 2 on the side 3 2 28 14 56 2 ______________________________________

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0no its 3 2 29 14 56

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0where did u get the 2 from the side from?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0bring down the three 3 2 29 14 56 2 ______________________________________ 3

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0no wait wheredid u get the 2 from

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.03*2=6 3 2 29 14 56 2 6 ______________________________________ 3

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i got the 2 because i know 2 is a zero. you have to know that to begin with!

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.02 + 6 = 4 3 2 29 14 56 2 6 ______________________________________ 3 4

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0wait 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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.04*2=8 3 2 29 14 56 2 6 8 ______________________________________ 3 4

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0in 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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.029 + 8 = 21 3 2 29 14 56 2 6 8 ______________________________________ 3 4 21

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0ok we know that f(2)=0 so we know f factors as (x+2) q(x) we are trying to find q(x)

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0we find q(x) by dividing f(x) by x + 2 which is what this synthetic division is doing

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0if we do not know a zero we do not know what to divide by

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i 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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0the factored form of this beast is \[(x+2)(3x4)(x^2  7)\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i am just factoring out the x + 2 at the moment.

animalsavior94
 3 years ago
Best ResponseYou've already chosen the best response.0so what are the zeros if it ended with 3 4 21 28 0 ?
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