CP Assignment %5 Due Date: 122621Completely factor each polynomial factor below:1. p() =' 3r" _ 402. 4r) =-2x" +74x'+3456...

Factor each trinomial, if possible. $16 p^{2}-40 p+25$

So no, we have 20 dimes. Four minus. B holds quest minus 34 minus B minus two. So therefore, neck four minus B is equals to white. So we have 20 y squared minus three. Why? Minus two? So we can write it as 20 y squared minus eight y plus five y minus two. So therefore we have four. Why five y minus two. Last one five by minus two. So no, we can digitize four y plus one and five by minus two. So no substitute back. Why is he calls to for mine? Sp So therefore we will have four times or four minus be blessed one on five times off. Four minus B minus two. So therefore we have you 18 minus five b. I'm so Indian minus four p as a final answer.

And this problem or being asked the factor the given Paulino me Well, anytime you're asked the factor, you should always look for a greatest common factor First, which in this case, is five. So I'm gonna factor all the five. So when I divide both terms by five, we're gonna be left with beaches 1/3 minus eight. So now we have to see if we can factor this by no meal. Well, they're both perfect cubes, and they're getting subtracted. So this is simply a difference of two cubes problem. So I'm gonna leave that G c f A five on the outside, and our first factor will be a binomial to get the first term. We take the Cube ruby to the third, which is be. And to get the second term, we date to Cuba of negative eight, which is negative, too. Now, the next factor is going to be a try. No meal to get the first term. We take B and square it. Well, when we square b, we get b squared. Now the sign will always be the opposite of the one in the binomial. So because it was minus in the binomial this first sign will be positive. To get the middle term we multiplied be times two, which is just to be and to get the last term we square to, which is positive for and now none of these factors.

So these 1st 3 terms make a perfect square. Try no meals. We can factor that as five C minus two all squared. Um, the way to check that square 25 c squared is five sees hurt forced to when you multiply these two terms give it together yet negative 10 c doubled. Is the middle term appear negative. 20. Now we have the difference of two perfect squares, and we can factor this using these some indifference pattern. So a squirt of five C minus two squared is five C minus two. The square of D squared is D, so there's the sum of their square roots, and here's the difference of their squares.

Hello if you're doing well. So this is our tryingto meal here that we need to factor. So it's written in the form Peter. The fourth plus B p squared plus C B in this case is minus 10 and C is 16. So you want to try to figure out what to numbers will multiply to give us 16. Add to give us minus 10. That's just gonna be minus eight and minus two. It's minus eight times minus two. Gives us 16 minus a plus minus two gives us minus 10 so that we can go and factor this train a meal here using these two numbers but instead of because usually are China meal would be in the form piece squared plus B p plus. See that? Because it's Peter. The fourth was BP squared plus C. It's a cortical equation. Then we're gonna active piece that the factor for this China meal will be he squared minus eight times piece weird minus two. So start Here's a piece squared instead of a P, which would normally be if it was a quadratic trying. So this is our final answer then right here. This is our factored form of the try no meal that were given. All right. Well, thank center who had hoped