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iNeedHelpPlease
 5 years ago
x^4+x^3+8X^2+9x9
write the polynomial as (a) the product of factors that are irreducible over the rationals, (b) as the product of linear and quadratic factors that are irreducible over the reals, and (c) in completely factored form.
iNeedHelpPlease
 5 years ago
x^4+x^3+8X^2+9x9 write the polynomial as (a) the product of factors that are irreducible over the rationals, (b) as the product of linear and quadratic factors that are irreducible over the reals, and (c) in completely factored form.

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Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0which part are you having trouble with ?

ineedhelpplease
 5 years ago
Best ResponseYou've already chosen the best response.0if i can get that then rest of the problem should be easy

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0okay, then let me ask you some questions do you know what a "rational" number is ?

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0it is a long story if we went through the details, but the shortest way to say it is "fractions"

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0so 0.1 is rational since it is 1/10 0.7878787878... is rational since it is 78/99 10 is rational since it is 10/1

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0knowing this, I want you to factor \[x^2 1\]

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0what you did was probably \[(x1)^2 = x^2 2x +1\]

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0the step you took is called "expanding" the opposite step is called "factoring" so for example \[x^2 +5x +6 = (x+2)(x+3)\]

ineedhelpplease
 5 years ago
Best ResponseYou've already chosen the best response.0my mistake. i know how to factor and expand and what not. im just having trouble factoring that equation

ineedhelpplease
 5 years ago
Best ResponseYou've already chosen the best response.0if i can get that factored then i believe i will be able to solve the rest of the equation.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0okay, I just want to demonstrate the difference between a), b), and c), so bare with me. could you factor \[x^21\]

ineedhelpplease
 5 years ago
Best ResponseYou've already chosen the best response.0i appreciate the help btw

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0fantastic now find the solution of \[x^2+2x+5 =0\]

ineedhelpplease
 5 years ago
Best ResponseYou've already chosen the best response.0i have to use the quadratic formula dont i?

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0yes, that's my point could you use it ?
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