9514 1404 393
Answer:
a) 4
b) 3
Step-by-step explanation:
a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.
The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.
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b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.
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<em>Additional comment</em>
Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.
Which one do you need help with
The number is -240 because -240 divided by 4 is -60
But how many people? 30 goes into 6 times or any multiple of 6 could go in 6 rows
Answer:
Step-by-step explanation:
Start by factoring out a -1...
Now, we have to find two integers that multiply to get -16 and have a sum of 6:
(-2)*8=-16
-2+8=8-2=6
Using this, we can split 6x into -2x and 8x...
Factor the first and second half separately...
![f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\](https://tex.z-dn.net/?f=f%28x%29%3D-%5B%28x%5E2-2x%29%2B%288x-16%29%5D%5C%5Cf%28x%29%3D-%5Bx%28x-2%29%2B8%28x-2%29%5D%5C%5C)
Since both x and 8 are being multiplied by x-2, we can combine them to get...
