Help please, kind of confused
1 answer:
Answer:
Step-by-step explanation:
Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:
and factor out what's common in each set of parenthesis:
. Now you can what's common is the (d + 3), so factor that out now:
BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):
BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:
. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):
is the completely factored and simplified answer, choice 3)
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The polynomial with 6 roots is the one of degree 6, so the correct option is:
<h3>Which polynomial function has 6 roots?</h3>
You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).
Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).
In this case, the only one of degree 6 is:
Which is the last option.
If you want to learn more about polynomials, you can read:
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