George worked on his science project for a total of 2 2/3 hours. He worked on it for 5/12 hour on Monday and 9/12 hour on Tuesda
1 answer:
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Topic:
Multiplying Polynomials
Answer:
Polynomial 1:
- Simplified Form: 6x^2 - x - 1
- Name by Number of Terms: trinomial
Polynomial 2:
- Name by Degree: linear
- Name by Number of Terms: binomial
Polynomial 3:
- Simplified Form: 2
- Name by Degree: constant
Step-by-step explanation:
Polynomial 1:
It has 3 terms, so it's a <u>trinomial</u>.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's <u>linear</u>.
There are 2 terms, so it's a <u>binomial</u>.
Polynomial 3:
Since there are no variables and the answer is just 2, it's a <u>constant</u>.
Note: I took a test on this and it seemed to be all correct
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:
The result is -54, not -6... so it's not the right result.
Let's test answer B then:
Right! Let's verify with n=5 to get 162:
Confirmed, answer is B. an = 2 • (-3)^(n - 1)