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The volume of an 8 -foot-wide portable storage container is represented by the trinomial $\left(72 x^{2}+120 x-400\right) \mathrm{ft}^{3} .$ Its dimensions can be determined by factoring the trinomial. Find the polynomials that represent the height and the length of the container.CAN'T COPY THE IMAGE

$8(3 x-5)(3 x+10)$height $3 x-5+ft$width $2 x+10+ft$

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

Missouri State University

University of Michigan - Ann Arbor

Lectures

01:23

Write an equation and solv…

06:32

Use the given volume of a …

04:40

Dimensions of a Box $\math…

02:31

The volume of a rectangula…

01:22

03:03

A box with no top is to be…

01:51

The volume of the box is r…

01:14

01:19

The polynomial $4 x^{3}-44…

02:43

03:19

$$\text { A storage bi…

01:06

Find the volume of a recta…

03:01

Okay, so we asked a factor to falling. So we'll we'll begin by factoring out of four from each time. So 72 that bite it right? Fourth, there's me 18 x squared plus 1 20 Divided by four is dirty. Thanks. And they got a 400 divided by four gives me they get 100 that we will use our grouping method. So we have a that's equal to 18. He's equal to dirty and see is able to negative 100. So our key number Did you go to 18 times Negative. 100. Okay. Excuse me. Negative 1800 Who we need to number this products is equal to make one 1008 100 whose some is equal to 30 so we can use 60 and dirty. And in order for 60 and dirty to some 2 30 we need our dirty to be negative. So we get 60 times. Thinking of their day is equal to negative 1800 their summits equal to dirty So well, we write our equation. So it gets they got the dirty X plus 60 x minus 100. And now for our first tutors, we contract out a three X. So yet six. X minus 32 33 is ton and then plus with in fact, out of 60 we're not a 60 a 10. So we get 10 or 10 times fix X minus 10 and now we see that we have a six x minus 10 in common. So we get four times three x plus 10 times six xn minus 10.

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