Question

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

Answer 1

Start with
(g^2 − 4g^4 + 5g + 9) + (−3g^3 + 3g^2 − 6).

Rewrite and group like terms:
−4g^4 + (−3g^3) + (g^2 + 3g^2) + 5g + (9 − 6).

Combine:
−4g^4 − 3g^3 + 4g^2 + 5g + 3.

So the sum is: −4g^4 − 3g^3 + 4g^2 + 5g + 3.