The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
principal is the correct answer
Step-by-step explanation:
principal is the correct answer
Answer: 16(x + 3)
Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor of 16x and 48?
The greatest common factor of 16x and 48 is 16 because
it's the largest number that divides evenly into 16 and 48.
The x does not qualify because it must appear in every term
to qualify for the GCF but here, it only appears in one term.
So a 16 factors out leaving us with each term divided by it
inside a set of parentheses so w eget 16(x + 3).
Notice that if we distributed the 16 through both terms,
we would end up with our original polynomial.
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

Finally, solve for x:

If you had 100 balloons, you will have
40 yellow balloons.
Hope this helps!!