10) 28n4 + 16n? – 80n² = 0 Factoring quadratic
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the quadratic equation:
28n^4 + 16n – 80n²
Factor the quadratic equation.
Solution:
In order to factor the quadratic equation, we simply nee to list all the factors of 28, 16, and 80, then determine the greatest common factor to be factored out.
Factors of 28:
1,2,4,7,14 and 28
Factos of 16:
1, 2, 4, 8, and 16
1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
It can be seen that the greatest common factor is 4, and for the term we have n since n has the least degree, therefore we can factor out 4n.
= 28n^4 + 16n – 80n²
= 4n ( 27n^3 - 20n + 4)
Final answer:
= 4n ( 27n^3 - 20n + 4)