Answer:
-x(13x³ - 2x² - 8x + 5)
Step-by-step explanation:
1. Distribute the negative to the numbers inside the parenthesis. Remember that two negatives multiplied will make a positive, and a negative and a positive will become a negative.
3x² - 5x - 7x^4 + 2x³ - 6x^4 + 5x²
2. Combine like terms. Remember that only numbers with the same number and exponents can be combined.
3x² - 5x - 7x^4 + 2x³ - 6x^4 + 5x²
↓
8x² - 5x - 7x^4 + 2x³ - 6x^4
↓
8x² - 5x - 13x^4 + 2x³
3. Rewrite the answer in descending order of powers.
-13x^4 + 2x³ + 8x² - 5x
4. Simplify The equation. The terms all have x in common, so we will take that out first. The smallest amount of x's any term has is one (-5x only has one x), so the most we can take out is one x. We will do this by lowering the power of every x by one.
x(-13x³ + 2x² + 8x - 5)
5. Since 13 and 5 are prime and do not go into 2 or 8 we will not be simplifying the coefficients. However, the last thing we can do is take out a negative.
-x(13x³ - 2x² - 8x + 5)
