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Rita said that when the product of three linear factors is greater than zero, all of the factors must be greater than zero or all of the factors must be less than zero. Do you agree with Rita? Explain why or why not.

Rita was wrong because even if only one factor is greater than zero and the two others are both negative, the product of the three factors would still be positive.

Algebra

Chapter 1

THE INTEGERS

Section 8

Quadratic Inequalities

The Integers

Equations and Inequalities

Polynomials

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

00:49

Rita said that when $a, b,…

03:21

Shelley said that if $(x-7…

00:58

Sharon said that if $\math…

02:25

Jordan said that if the ro…

01:39

True or False. A product o…

03:13

a. Sarah said that in the …

01:42

Joel said that the factors…

00:28

A quadratic factor that ca…

04:15

Maria said that since the …

03:06

Brianna said that $\frac{3…

in this exercise. We have this scenario where Rita says that the product of three linear factors has to be either greater than zero or all the must be, um, less than zero for the product to be positive. So do we agree with the statement? Explain why or why not? So basically, she's trying to say You have these. Three numbers were just called X Y and Z and the X Y and Z will be greater than zero on Lee if all three of these are greater than zero or if all of them are less than zero. But we could actually really quickly conclude that if all three of these lessons and zero, we're gonna have a negative times negative times negative and these two negatives will make a positive. But then we'll still have a negative, which will lead eventually into a negative. So this is definitely not right. So we can already say that Rita is wrong, because that scenario does not provide us with the negative zero. The one thing that might be true is if we had a negative times a negative times a positive that would give us of the network and zero for the scenario that is described here. Rita is not correct.

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