Perform the indicated operations. See Examples 2–6. -z^3(9-z) + 4...

Question

Perform the indicated operations. See Examples 2–6. -z^3(9-z) + 4z(2+3z)

Accepted Answer

Welcome back. I am so glad you're here. We are given the expression negative M. To the fourth times 12 minus M plus eight M squared times one plus five M. And we are asked to find the sum. So we need to add these two things together. Well before we can do that we need to distribute these numbers squished up in front of the parentheses. This negative M. To the fourth will get multiplied by the 12 and the negative M. And this eight M squared will get multiplied by the one and the five M. So we take negative em to the fourth times 12. That will be a negative 12 M. Two. The fourth we take negative M to the fourth times negative M negative times a negative will give us a positive. So we've got plus M. Two. The fifth plus eight M squared times one is eight M squared and eight M squared times five M. Is going to be a plus eight times five is 40 and M squared times M is M to the third. And now we want to put these in order for their variables, starting with the highest degree. The highest degree will be five here, so M to the fifth can go first and then the next highest degree will be the fourth. So we can have minus 12 M. Two, the fourth next and then the next highest degree is M. Two the third. So we can have plus 40 M. Two. The third and then the final one is plus eight M squared. We look at our answer choices and this matches with answer choice C. Well done, we'll catch you on the next one.

Perform the indicated operations. See Examples 2–6. -z^3(9-z) + 4z(2+3z)

Key Concepts

Polynomial Operations

Distributive Property

Combining Like Terms

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