SOLUTION: for each polynomial function: a)find the rational zeros and all the other zeroes that is solve f(x)=0. (b)express f(x) as a product of linear factors. f(x)= x^3-2x^2+16x-32 p

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Question 1138633: for each polynomial function:
a)find the rational zeros and all the other zeroes that is solve f(x)=0.
(b)express f(x) as a product of linear factors.
f(x)= x^3-2x^2+16x-32 please show your work
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
for each polynomial function:
(a)find the rational zeros and all the other zeroes that is solve f(x)=0.
(b)express f(x) as a product of linear factors.


Factor the first two terms and the last two terms



Take out the common factor (x-2):



Write +16 as -(-16) 



Since the square roots of -16 are 4i and -4i we can factor
x²+(-16) as the difference of squares:



Set each factor = 0 to find the zeros:

x-2=0;  x-4i=0;   x+4i=0
  x=2;     x=4i;     x=-4i

Edwin
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Here's your completed problem as I promised.

Edwin
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