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The area of a teacher's desktop is represented by the trinomial $\left(4 x^{2}+20 x-11\right)$ in. $2^{2} .$ Factor it to find the polynomials that represent its length and width.

$(2 x+11)$ in. $,(2 x-1)$ in.

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

McMaster University

Baylor University

Lectures

00:22

The dimensions of the rect…

03:05

The area of the rectangle …

02:12

In $42-45,$ each polynomia…

01:00

Solve each problem.The…

01:41

Use the given length and a…

02:19

00:35

The area of a rectangle of…

02:24

01:48

Okay, so we asked the factor falling. So, um, let's use our grouping with it. So we have a two for B 20 and C is equal to negative 11. So a key number is equal to Maura Times negative 11 which is equal to negative 44. So we need to numbers whose product is equal to negative 44 and who some is equal to 20 so we can use to on 22. We see that for two on 22 to 20 some to 20. We need to to be negative. So now we can rewrite our middle turn as negative two x minus or a plus 22 x minus 11. So our 1st 2 terms, in fact, about two and a next. So we get X or two X minus one and then for our last two terms, we contract out of 22 first. All right, 11. So we get to X minus one and that with you we have a two x minus one in common, so it's factored about to get to x minus one times two X plus 11

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