Which of the following represents the zeros of f(x) = x3 − 14x2 + 61x − 84?

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Which of the following represents the zeros of f(x) = x3 − 14x2 + 61x − 84?

Mathematics
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Other answers:

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

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