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

Answer:

   (b)  –4g^4 – 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

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Combine Like Terms

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

The like terms are the g^2 terms and the constants.

  = (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)

  = 4g^2 +(–4g^4) +5g +3 +(–3g^3)

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Write in Standard Form

In this form, the terms are written in order of decreasing degree.

  = –4g^4 –3g^3 +4g^2 +5g +3