Answer:
The zeros of the given polynomial function f(x) are -3,0,-4
Step-by-step explanation:
Given polynomial is 
To find the zeros of the given polynomial:
First equate the polynomial function f(x) to zero
That is 
By synthetic division we can solve it
-3_| 3 21 36 0
0 -9 -36 0
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3 12 0 0
Therefore x+3 is a factor
That is x=-3 is a zero


3x=0 or x+4=0
Therefore x=0 or x=-4
Therefore the zeros are -3,0,-4
Answer:
K=-2
Step-by-step explanation:
-3 = 5k + 7
Subtract 7 to the other side
-3 -7 = 5k
-10 = 5k
-2 = k
9514 1404 393
Eexplanation:
16. Suppose the roots are α and kα. Then we can write the equation as ...
a(x -α)(x -kα) = 0
ax² -ax(α +kα) +akα² = 0
Comparing to the original equation, we can equate coefficients to get ...
Solving the first for α gives ...
α = -b/(a(1+k)
Substituting into the second, we have ...
c = ak(-b/(a(1+k)))²
Multiplying by a(1+k)², we get ...
(1+k)²ac = kb²
Using k=2 gives ...
9ac = 2b² . . . . . as required
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17. Using the previous result with k=1 (equal roots), we have ...
(1+k)²ac = kb²
4ac = b² . . . . . for k=1
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<em>Additional comment</em>
We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.
$ 624.14 because you cannot have more than 2 digits when you work with money