Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6)
group like terms.
combine like terms.
write the resulting polynomial in standard form.
complete the steps to find the sum. what is the sum?
–7g4 + 4g3 – 3g2 + 5g – 3
–4g4 – 3g3 + 4g2 + 5g + 3
–4g4 + 4g2 + 14g – 6
–3g4 + 14g – 6

Group like terms

-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6

combining like terms:-

= -4g^4 - 3g^3 + 4g^2 + 5g + 3

g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6)

Group like terms.

This means that we need to group together terms with the same variable and exponent.

(-4g^4) this has no like terms so it will sit on its own
(-3g^3) same with this
(3g^2, g^2)
(5g)
(9, -6)

Now, we want to combine the like terms we just identified by adding them. When we add terms, we simply add the coefficients (The number before the variable). If a term does not show a coefficient (For example, g^2) then the coefficient is 1.

3g^2 + g^2 = 4g^2 (3 + 1 = 4)
9 + (-6) = 3

So, our final polynomial is –4g^4 – 3g^3 + 4g^2 + 5g + 3. This is in standard form because the degrees of each term are in descending order.
The answer is B.

Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.