For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.
11. Find the product of (3x+5) with (2x - 3) in simplest form.
1 answer:
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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.