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What must be added to -5c^2-3+4c to get the sum of -2c^2-c+1

1 Answer

4 votes

Answer: 3c² - 5c + 4

Explanation:

To answer this question, we need to find what added to -5c²-3+4c will simplify to -2c²-c+1. To do this, we will look at the like terms and figure out the difference.

Given:

-5c² - 3 + 4c + x = -2c² - c + 1

Reorder terms to both be ordered by term degree:

-5c² + 4c - 3 + x = -2c² - c + 1

-5c² plus what equals -2c²:

-5c² + 4c - 3 + (3c²) = -2c² - c + 1

4c plus what equals -c:

-5c² + 4c - 3 + (3c² - 5c) = -2c² - c + 1

-3 plus what equals 1:

-5c² + 4c - 3 + (3c² - 5c + 4) = -2c² - c + 1

Simplify to check our work:

-2c² - c + 1 = -2c² - c + 1 ✓

Answer:

3c² - 5c + 4

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