anonymous
  • anonymous
Which of the following represents the zeros of f(x) = x3 − 14x2 + 61x − 84?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@lyn
anonymous
  • anonymous
@LynFran
anonymous
  • anonymous
@LynFran

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More answers

anonymous
  • anonymous
@welshfella
welshfella
  • welshfella
try some of the factors of 84 f(4) = 0 so (x -4) is a factor
anonymous
  • anonymous
ok
anonymous
  • anonymous
3 a factor?
welshfella
  • welshfella
now as -84 is the last term and x - 4 is a factor you could see if the factors of 21 could be zeros try finding f(3) and f(7)
anonymous
  • anonymous
so7,4, and 3
welshfella
  • welshfella
yes 3 is a factor
welshfella
  • welshfella
3 is a zero i meant
anonymous
  • anonymous
yes, may u help on another?
welshfella
  • welshfella
well is f(7) = 0 ?
welshfella
  • welshfella
you need to check that f(3) and f(7) = 0
anonymous
  • anonymous
ok, is 3 a factor?
anonymous
  • anonymous
or -3
welshfella
  • welshfella
i checked f(3) it is = 0 so 3 is a zero
anonymous
  • anonymous
and i checked 7 and it is a zero
welshfella
  • welshfella
3 is not a factor (x -3) will be a factor
anonymous
  • anonymous
ok
anonymous
  • anonymous
may you help on a nother
welshfella
  • welshfella
f(7) also = 0 yes 4,3 and 7 are correct
anonymous
  • anonymous
Which of the following is a polynomial with roots 3, 5i, and −5i?
welshfella
  • welshfella
ok
welshfella
  • welshfella
if x = 3 then one factor will be (x - 3) and the other 2 will be (x + 5i) and (x - 5i) what do you get when you multiply x + 5i and x - 5i ?
anonymous
  • anonymous
x^2-25i
anonymous
  • anonymous
@welshfella
welshfella
  • welshfella
not quite (x - 5i)(x + 5i) = x^2 + 5xi - 5xi -5i*5i = x^2 - 25i^2 = x^2 - 25* -1 = x^2 + 25 remember that i^2 = -1
anonymous
  • anonymous
ahh ok then what?
welshfella
  • welshfella
so to get your polynomial you must multiply:- ( x - 3)(x^2 + 25)
anonymous
  • anonymous
then we multiply by (X-3) for the answer right?
anonymous
  • anonymous
yeah that right
anonymous
  • anonymous
@welshfella what is our final answer?
welshfella
  • welshfella
well do the multiplication (x - 3)(x^2 + 25) = x^3 + 25x can you continue?
welshfella
  • welshfella
you need to multiply the second parenthesis by -3
anonymous
  • anonymous
ok
anonymous
  • anonymous
-3x^2-75
anonymous
  • anonymous
f(x) = x^3 − 3x^2 + 15x − 75 IS THAT THE ANSWER?
anonymous
  • anonymous
@welshfella
welshfella
  • welshfella
its 25x not 15x
anonymous
  • anonymous
sry i mistyped
anonymous
  • anonymous
thanks dude
welshfella
  • welshfella
yw

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