When buying a new dress, you have a choice of 3 different lengths, 5 different colors, and 2 different styles. How many choices
2 answers:
Answer with explanation:
Number of choices in Length for a dress = 3
Number of choices in Color for a dress= 5
Number of choices in Style for a dress= 2
To select a length out of 3 length ,which can be done in
To Select a color, among 5 different colors , can be done in .
To Select a Style, among 2 different styles , can be done in .
Total Number of ways
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<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).