Question

add: \\((g^2 - 4g^4 + 5g + 9) + (-3g^3 + 3g^2 - 6)\\)

1. rewrite terms that are subtracted as addition of the opposite.

\\(g^2 + (-4g^4) + 5g + 9 + (-3g^3) + 3g^2 + (-6)\\)

1. group like terms.
2. combine like terms.
3. write the resulting polynomial in standard form.

complete the steps to find the sum. what is the sum?

\\(\bigcirc -7g^4 + 4g^3 - 3g^2 + 5g - 3\\)
\\(\bigcirc -4g^4 - 3g^3 + 4g^2 + 5g + 3\\)
\\(\bigcirc -4g^4 + 4g^2 + 14g - 6\\)
\\(\bigcirc -3g^4 + 14g - 6\\)

Explanation:

Group like terms

$$ (-4g^4) + (-3g^3) + (g^2 + 3g^2) + 5g + (9 - 6) $$

Combine like terms

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

Answer:

• (A) \(-7g^4 + 4g^3 - 3g^2 + 5g - 3\)
• (B) \(-4g^4 - 3g^3 + 4g^2 + 5g + 3\) (Correct answer)
• (C) \(-4g^4 + 4g^2 + 14g - 6\)
• (D) \(-3g^4 + 14g - 6\)