PLEASE HELP ASAP MUCH APPRECIATED.
2 answers:
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Answer:
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes .
Same logic applies to the second term: , raise the exponent by one,
.
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so in this case - as
). Again, using the same logic, this turns into
.
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, .
Adding these terms all together gets us .
Hope this helped!
First of all, we can observe that
So the expression becomes
This means that the expression is defined for every
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask
Since we can't accept 3 as an answer, the actual solution set is