💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

In $9-26,$ write each expression as the product of two binomials.$$6 x^{2}-13 x+2$$

$(x-2)(6 x-1)$

Algebra

Chapter 1

THE INTEGERS

Section 6

Factoring Polynomials

The Integers

Equations and Inequalities

Polynomials

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

02:57

In $9-26,$ write each expr…

03:01

02:37

01:20

02:24

02:44

02:42

02:05

01:26

So we want to write the expression as a product of soup. I know meals. So we're just gonna factor this So we multiply the first time in the last time we get positive 12 and they will look at our middle term, which is negative. 13. And we know he wanted to add some negative 13. So when we factor tryingto meal, we just want to split apart this middle terms and then we contracted by grouping. So now we're gonna list the factors of 12 someone in 12 to in six in three and four. They will need to find out which combination would give us negative 13. So we know that since there's 12 is positive, both terms have to be either positive or negative. And then since we know the sign of this 13 is negative, that means the boat terms have to be negative. So we all mostly no that boat terms have to be negative. So starting from the top native, one minus well, because those negative 13. So now we know that this is our pair here, so we're gonna split apart the military. So we have six x squared and then we'll have minus 12 x minus one x and then bring down that plus two. So now we get the 1st 2 times and group the last two times. Don't forget to include that sign in front of the negative points. And now we're gonna factor out the greatest common factor in the greatest common Manami. So the guy is coming back to between six and 12 6 and pull out of six. And then we also pull out the variable with the lowest degree, which is X. So you pull that out. We're left with X minus two on the inside. And from the second factor, we're gonna pull out a negative point. They were left with X minus two on the inside. A new nipple on negative one. Because we need this term to match this, Sir, in this how we know we're on the right track. So we live with X minus two, and then I would have just lived six X minus one

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

In $9-26,$ write each expression as the product of two binomials.$$2…

In $9-26,$ write each expression as the product of two binomials.$$x…

In $9-26,$ write each expression as the product of two binomials.$$3…

In $9-26,$ write each expression as the product of two binomials.$$9…

In $9-26,$ write each expression as the product of two binomials.$$a…

01:08

Simplify each complex rational expression. In each case, list any values of …

In $3-8,$ write each polynomial as the product of its greatest common monomi…

05:17

In $13-24,$ divide and express each quotient in simplest form. In each case,…

01:02

In $3-38$ write each expression in simplest form. Variables in the radicand …

01:47

Rationalize the denominator and write each fraction in simplest form. All va…

01:52

01:17

In $3-38$ , write each radical in simplest radical form. Variables in the ra…

01:35

04:15

Maria said that since the solution of the inequality $|2 x-5| < 3$ can be…

01:06

In $3-17,$ solve each equation or inequality. Each solution is an integer.

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.