Question

28n⁴ + 16n³ - 80n²


Factor completely show work pls

Answer 1

28n^4 + 16n^3 - 80n^2

Start with 28n^4 + 16n^3 which is 44n^7 as you add the powers and integers together
Then do 44n^7 - 80n^2 which is -36n^5 as you subtract the powers and integers.

So the answer is -36n^5

Answer 2

4n²(7n-10)(n+2)

Explanation:

• 28n⁴ + 16n³ - 80n².

The first step is to factor out a 4n² or take common from each term:

• 28n⁴ + 16n³ - 80n²
• 4n²(7n² + 4n - 20)

The next step is to factor 7n² + 4n - 20. We can do this by grouping:

• 7n² + 4n - 20
• (7n² + 14n - 10n - 20)
• 7n(n+2)-10(n+2)
• (n+2)(7n-10)

Therefore, the complete factorization is:

• 4n²(7n-10)(n+2)