SOLUTION: Show that the given values of c are zeros of P(x), and find all other zeros of P(X) P(X)= 3x^4-x^3-21x^2-11x+6 c=(1/3), -2

Question 675207: Show that the given values of c are zeros of P(x), and find all other zeros of P(X)
P(X)= 3x^4-x^3-21x^2-11x+6 c=(1/3), -2
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
0 =
...
c = 1/3
3c = 1
3c - 1 = 0
(3x-1)
...
c = -2
c + 2 = 0
(x+2)
...
(3x-1)(x+2)

From the given zeros we know

...
To find the remaining factors, divide

...
goes into : x^2
to get

subtracting

yielding

...
goes into : -2x
to get

subtracting

yielding

...
goes into : -3
to get

subtracting

yielding
0
...
...

...

(x-3)(x+1)
...
All for zeros
, - 2 : given
3, -1 : solved
.....................
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