anonymous
  • anonymous
If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)? MEDAL AND FAN PLEASE
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@welshfella @WazapxD @Michele_Laino
anonymous
  • anonymous
wouldnt be a x behind 2
anonymous
  • anonymous
4x^3-8x^2+3x+2

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More answers

anonymous
  • anonymous
ima work this out brb
anonymous
  • anonymous
ok
anonymous
  • anonymous
whats the answer choices
anonymous
  • anonymous
(x-2) (3x+1) (x-1) are the factors of the polynomial function
anonymous
  • anonymous
sets of zeroes are x=2 x= -1/3 x=1
anonymous
  • anonymous
The answer choices are 2, -2, -1, 5
anonymous
  • anonymous
it is 2
anonymous
  • anonymous
how?
anonymous
  • anonymous
you need to factor the trinomial function to find the zeroes
anonymous
  • anonymous
but wouldn't it be -1,2, and 1/3
anonymous
  • anonymous
yes that is correct they're 3 zeroes in a cube root unless one of the zeroes is repeated
anonymous
  • anonymous
they are only looking for another one
anonymous
  • anonymous
which is 2 or -1/3 since 1 is given
anonymous
  • anonymous
ok. can i ask another?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Anyone?
welshfella
  • welshfella
this is the Descartes rule of signs which i've only got a vague memory of . I'll see if I can find a website for you. Or maybe someone who remembers it will come along..
anonymous
  • anonymous
Here is a link to a similar question
anonymous
  • anonymous
But I still don't understand it :(
welshfella
  • welshfella
http://www.purplemath.com/modules/drofsign.htm
anonymous
  • anonymous
:) Thank you!!
anonymous
  • anonymous
Which polynomial identity will prove that (3 + 6)2 = 81?
anonymous
  • anonymous
power rule
welshfella
  • welshfella
there are 3 changes of sign in this polymomial
anonymous
  • anonymous
so would it be difference of squares?
anonymous
  • anonymous
Square of a Binomial
anonymous
  • anonymous
Which of the following is a polynomial with roots: −square root of 3, square root of 3, and −2?
welshfella
  • welshfella
now you find f(-x) and count the sign changes again f(-x) = (-x)^6 −(- x)^5 − (-x)^4 + 4(-x)^3 − 12(-x)^2 + 12 = x^6 + x^5 - x^4 - 4x^3 -12x^2 + 12 - 2 changes of signs
anonymous
  • anonymous
So for the positive would it be 4,2,0 sign changes?
welshfella
  • welshfella
i missed one out for f(x) its 4 sign changes
welshfella
  • welshfella
not sure - i'll have to re check
anonymous
  • anonymous
Ok. So would the answer be positve:4,2,0 and negative 2,0 and complex:6,4,2,0
welshfella
  • welshfella
yea 4,2 or 0 positive roots
anonymous
  • anonymous
Which of the following is a polynomial with roots: −square root of 3, square root of 3, and −2?
anonymous
  • anonymous
x3 − 2x2 − 3x + 6 x3 − 3x2 − 5x + 15 x3 + 2x2 − 3x − 6 x3 + 3x2 − 5x − 15
anonymous
  • anonymous
is the answer B?
welshfella
  • welshfella
yes i think you are right for the first one
anonymous
  • anonymous
so is it B for the second question?
welshfella
  • welshfella
roots sqrt3 - sqrt3 and -2 factors will be (x + 2)(x - sqrt3)(x + sqrt3) = (x +2)(x^2 - 3)
welshfella
  • welshfella
expanding gives x^3 + 2x^2 - 3x - 6
anonymous
  • anonymous
So it would be A?
welshfella
  • welshfella
that is C
anonymous
  • anonymous
really?
anonymous
  • anonymous
x3 + 2x2 − 3x − 6
anonymous
  • anonymous
That one?
welshfella
  • welshfella
yes
anonymous
  • anonymous
I thought it was A. But i believe u
anonymous
  • anonymous
What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?
anonymous
  • anonymous
2x2 − 5x + 2 I got this as an answer
anonymous
  • anonymous
yes?
welshfella
  • welshfella
sorry I got called away lets see
anonymous
  • anonymous
It's okay:)
anonymous
  • anonymous
What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)? Just in case u needed the question again
welshfella
  • welshfella
yes
welshfella
  • welshfella
looks good
anonymous
  • anonymous
Was I right?
welshfella
  • welshfella
lol - i'm really slow with this one
anonymous
  • anonymous
it's fine:)
welshfella
  • welshfella
Yes you are right
anonymous
  • anonymous
ok Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)?
anonymous
  • anonymous
I got this as an answer: 2x2 + 4x + 6
welshfella
  • welshfella
correct
anonymous
  • anonymous
ok If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)?
anonymous
  • anonymous
i got -1
welshfella
  • welshfella
f(-1) = -3 - 8 - 3 +2 = -12 so its not -1 as the last term is + 2 it might be -2 or 2
anonymous
  • anonymous
both -2, and 2 are answer choices :(
welshfella
  • welshfella
try f(2)
welshfella
  • welshfella
f(2) = 3(8)- 8(4) + 6 + 2 = 24 - 32 + 8 = 0
welshfella
  • welshfella
so its 2
anonymous
  • anonymous
What is the remainder when (3x4 + 2x3 − x2 + 2x − 24) ÷ (x + 2)?
anonymous
  • anonymous
Thank-you:) For this one I got 0 as a answer
welshfella
  • welshfella
you should really be submitting them in different posts .. but ill do this last one
anonymous
  • anonymous
Oh okay. I'm sorry :)
welshfella
  • welshfella
f(-2) will give you the remainder
anonymous
  • anonymous
so it's not 0?
welshfella
  • welshfella
3(-2)^4 + 2(-2)^3 - (-2)^2 - 4 - 24 = 48 - 16 - 4 - 4 - 24 = 48 - 48 = 0
welshfella
  • welshfella
correct

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