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Marietta factored $x^{2}+5 x-4$ as $(x+4)(x+1)$ because $4(1)=4$ and $4+1=5 .$ Do you agree with Marietta? Explain why or why not.

No

Algebra

Chapter 1

THE INTEGERS

Section 6

Factoring Polynomials

The Integers

Equations and Inequalities

Polynomials

Missouri State University

University of Michigan - Ann Arbor

Idaho State University

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So it says that Mariana Factor X squared plus above its monness floor. And she said that equal X plus four Times X plus one because four times one equals four and four plus one equals five. So do you agree or disagree with Mario? I would say I disagree. I'll show you why. Because we're going to boil these to buy no meals, so x Times X gives us X squared one times x gives us x four times X gives us for X. Anyone times forgives us for so pick a pie like times will have X squared plus five x plus four. And this does not equal X squared plus five x minus sport. Therefore, I'm not agree with her. The correct back to ah, that would be showing no movement. So you always want to take your middle term, which will be five, and you want to move the party coefficient times the last time, which will being negative board. So this is what you want them to add two. And this is what they most quiet too. So you want a list of factors of negative four, so you have one or two into and you want to see which ones can add apps and a positive vibe here. So why don't they know it'll be wanted for? However, we need one of these numbers to be negative. So making answer five. And as you see, any combinations of these two numbers would not give us positive by because if this was negative one, they add up to three. Or if this was negative one. I mean, this is negative board that would add up so negative three. Therefore, we cannot easily factor this. We would need to use the quadratic formula, but I just want to say that we do not a good Mariana, because when you boil, you do not get our original equation.

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