Explain how to factor the following examples. A). 4x^4+10x^3+2^2 B). X^2+13x+42
1 answer:
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For this case we must find an expression equivalent to:
We look for the factors of 10 and 30:
10: 1,2,5,10
30: 1,2,3,5,6,10,15,30
The greatest common factor of both numbers is 10.
Then, we can rewrite the expression as:
Answer:
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the meat, there are 3 outcomes, hence
.
- For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula,
.
- For the dessert, there are 4 outcomes, hence
.
Then:
She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866