Tell whether the expression 3x^4 -5x +7 is a polynomial. If it is polynomial , find the degrees and determine whether it is a mo
1 answer:
Given:
The polynomial is:
To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,
The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms . So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.
You might be interested in
The complete question is:
A geometric sequence is defined recursively by
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
Answer:
- <u>The 9th term is larger than 1/10.</u>
Explanation:
You are given the first term, , and the recursive formula
Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).
<u>(a) First four terms of the sequence</u>
Those are the first four terms.
<u>(b) 9th term</u>
You can write the explicit formula of the sequence as:
Thus, for the 9th term, n = 9, and the term is:
Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.