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Choose the correct method from Sections 6.1, 6.2, or 6.3 to factor each of the following.$$25 n^{8}-49 n^{7}-2 n^{6}$$

$n^{6}(n-2)(25 n+1)$

Algebra

Chapter 6

Factoring and Quadratic Equations

Section 3

Factoring Trinomials of the Form $a x^{2}+b x+c 454$

Equations and Inequalities

Quadratic Functions

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McMaster University

Idaho State University

Lectures

01:33

Choose the correct method …

01:27

01:04

01:31

01:03

00:49

01:09

01:14

00:31

00:51

00:39

01:42

01:15

00:21

01:26

00:54

01:38

02:00

00:25

00:27

Okay, so we ask the factor to falling. So let's start by factoring into our six from each term who left with falling. Okay, So let's use our grouping method. We have a that's equal to 25 be. That's equal to negative 49 see that he continued to our key number, if you could. It's negative. Two times 25 What you see quit sending out of 50. So we need to numbers whose product is equal to negative 50 and who's some is equal to negative 49. We can choose negative 50 and one, and we meet the fallen criterias so we can rear rewrite our equation at swallows gets negative 50 and and then plus and minus two. So using our first in terms, we can factor out of 25 you get an A minus d'oh plus and minus two. In an end to our six, we see that we have and what is to in common so we can factor that now. Do we get inside of our six times and minus two times 25 plus one

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