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Two students factor $2 x^{2}+20 x+42$ and get two different answers: $(2 x+6)(x+7)$ and $(x+3)(2 x+14)$Do both answers check? Why don't they agree? Is either answer completely correct? Explain.

$(2x+6)(x+7)$$(x+3)(2 x+14)$

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

Campbell University

McMaster University

Lectures

01:00

Explain what the student d…

01:59

For Exercises 41 and $42,$…

00:52

Concept Check When a stude…

02:10

When a student was given t…

00:23

01:56

A student incorrectly fac…

01:15

On an exam, a student fact…

01:03

A student factored $x^{3}+…

00:35

A student incorrectly fact…

02:58

Explain why $2 x-10$ canno…

01:07

Factor completely.$$

Okay, so arrest check. If these factories ations equal, he's polynomial. So we'll begin with our 1st 1 to get to X There are two plus 14 x plus six x and in plus six times seven which is equal to 42 now. 14 experts six exes, 20 x So we see that we get to X squared plus 20 experts 42 That's equal to this polynomial here and now Let's check our other one. So he gets to ex Quaid plus Fortune X plus six X and then plus three times 14 with you people to 42. Then we see that this factory is a shin also equals are pulling a little here.

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