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