Four polynomials are shown below: A. 4 − 7x5 + x2 B. 5x3 + 5 − 3x4 C. 3x + 2x4 − x2 + 6 D. 3x3 − 5 + 2x5 + x Which of the above
2 answers:
Answer:
Polynomial B
Step-by-step explanation:
We are given 4 different polynomial. We need to choose 4th degree polynomial from given.
Degree is maximum power of x of polynomial.
Option A:
Degree = 5, False
Number of term = 3 (Trinomial)
Option B:
Degree = 4
Number of term = 3 (Trinomial)
True
Option C:
Degree = 4
Number of term = 4 (Not Trinomial)
False
Option D:
Degree = 5
Number of term = 3 (Trinomial)
False
Hence, Polynomial B is correct whose degree 4 and number of term 3.
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we are given
we know that
whenever nothing is given in base
we will assume base =10
so, we can solve for x
we can take exponent 10 on both sides
now, log will be cancelled with 10
we get
..............Answer
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
,
- Putting 2 in
- Putting 3 in
- Putting 4 in
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.