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Choose the correct method from Section 6.1 or Section 6.2 to factor each of the following.$$s^{4}+11 s^{3}-26 s^{2}$$

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$$s^{2}(s+13)(s-2)$$

Algebra

Chapter 6

Factoring and Quadratic Equations

Section 2

Factoring Trinomials of the Form $x^{2}+b x+c 443$

Equations and Inequalities

Quadratic Functions

Missouri State University

Campbell University

Baylor University

Lectures

00:47

Choose the correct method …

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we want you factor this polynomial. So, first of all, I can see that everybody has at least two esses in them, so we'll start by pulling that out. We can pull out a s squared, so this would have to s is left. Does it have one s left and this would have been no es is left. Okay. And now, looking at this try know me. Well, that remains were looking to factor this by finding two numbers that multiplied and negative 26 and add to positive 11. Okay, so try and do that in your mind. First, can you think of two numbers that multiplied in negative 26 and add to make 11. But if you can't find it that way, you can always figure out figured out by doing a full list of all the things that multiplied to make negative 26. So, for example, there's one times negative 26. There's two times negative. 13 Can't do 3456789 10 or 11 or 12. The next thing is 13 times native to and then 26 times negative one. So what these at up to? Well, negative 25. Negative 11. Positive 11 and positive. 25. So this is the one here that we were looking for? You can factor that as s plus to an s minus 13. So there it is. That is thief fully factored form of that polynomial.

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