iNeedHelpPlease
  • iNeedHelpPlease
x^4+x^3+8X^2+9x-9 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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yuki
  • yuki
which part are you having trouble with ?
iNeedHelpPlease
  • iNeedHelpPlease
the first part
iNeedHelpPlease
  • iNeedHelpPlease
if i can get that then rest of the problem should be easy

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More answers

yuki
  • yuki
okay, then let me ask you some questions do you know what a "rational" number is ?
iNeedHelpPlease
  • iNeedHelpPlease
not really.
yuki
  • yuki
it is a long story if we went through the details, but the shortest way to say it is "fractions"
yuki
  • yuki
so 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
iNeedHelpPlease
  • iNeedHelpPlease
i understand.
yuki
  • yuki
knowing this, I want you to factor \[x^2 -1\]
iNeedHelpPlease
  • iNeedHelpPlease
x^2-2x+1
yuki
  • yuki
what you did was probably \[(x-1)^2 = x^2 -2x +1\]
yuki
  • yuki
the step you took is called "expanding" the opposite step is called "factoring" so for example \[x^2 +5x +6 = (x+2)(x+3)\]
iNeedHelpPlease
  • iNeedHelpPlease
my mistake. i know how to factor and expand and what not. im just having trouble factoring that equation
iNeedHelpPlease
  • iNeedHelpPlease
if i can get that factored then i believe i will be able to solve the rest of the equation.
yuki
  • yuki
okay, I just want to demonstrate the difference between a), b), and c), so bare with me. could you factor \[x^2-1\]
iNeedHelpPlease
  • iNeedHelpPlease
(x-1)(x+1)
iNeedHelpPlease
  • iNeedHelpPlease
i appreciate the help btw
yuki
  • yuki
fantastic now find the solution of \[x^2+2x+5 =0\]
iNeedHelpPlease
  • iNeedHelpPlease
i have to use the quadratic formula dont i?
yuki
  • yuki
yes, that's my point could you use it ?
yuki
  • yuki
Are you still here ?

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