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Algebra 16 Online
OpenStudy (anonymous):

can somebody help? Add the polynomials. (4y+5y2) + (2y3-8y2)

OpenStudy (anonymous):

@bloomlocke367

OpenStudy (bloomlocke367):

\(\Huge\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\) \(\bbox[ 5pt, #f5a9f2, border: dashed #f781d8 5pt]{\scr\Huge\color{#01dfa5}{BloomLocke367~Here}}\) \(\Huge\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\color{#2efec8}{\heartsuit}\color{pink}{\heartsuit}\)

OpenStudy (bloomlocke367):

I can help

OpenStudy (igreen):

We can only combine these terms: 5y^2 - 8y^2 Can you do that?

OpenStudy (igreen):

Just subtract the whole numbers and keep the variable with the exponent.

OpenStudy (anonymous):

no I cant sorry

OpenStudy (igreen):

Subtract 5 - 8, what do you get?

OpenStudy (bloomlocke367):

iGreen... why do you always steal my questionsssss??..

OpenStudy (igreen):

Lol

OpenStudy (jhannybean):

You have to find like terms- this means analyzing the variables (\( x~,~y\)) etc and compare the power of their exponents.

OpenStudy (anonymous):

3y^2

OpenStudy (jhannybean):

If they're the same, such as \(\color{red}{y^2}+3\color{red}{y^2}\) then you can add them.

OpenStudy (igreen):

Nice work, but 5 - 8 isn't 3

OpenStudy (anonymous):

-3 sorry

OpenStudy (igreen):

Yes, so it's -3y^2

OpenStudy (igreen):

We are left with -3y^2, 4y, and 2y^3 Do you see any other like terms?

OpenStudy (anonymous):

no i dont

OpenStudy (igreen):

Good :) So we just arrange from highest exponent to lowest: \(2y^3 - 3y^2 + 4y\)

OpenStudy (igreen):

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OpenStudy (anonymous):

thank you!

OpenStudy (igreen):

No problem, happy to help :)

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