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how do you solve zero factor property

by Ms. Hildegard Goodwin MD Published 3 years ago Updated 2 years ago

Part of a video titled Solving Quadratic Equations: The Zero-Factor Property Pt. 1 ...
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22:19
Set equal to zero. And in that case you can set each factor equal to zero and solve for it.MoreSet equal to zero. And in that case you can set each factor equal to zero and solve for it.

What do you mean by zero factor property?

The zero factor property states that if ab=0 , then either a=0 or b=0 .

How do you use the Zero Product Property to solve an equation in factored form?

0:071:35Solving a factored quadratic equation using the zero product propertyYouTubeStart of suggested clipEnd of suggested clipYou can apply the zero product property basically saying negative x equals zero. Or three x plusMoreYou can apply the zero product property basically saying negative x equals zero. Or three x plus five equals zero. That's all you simply do have the product set them both equal to zero.

How do you solve an equation with zeros?

Applying the Principle of Zero Products, you know that if the product is 0, then one or both of the factors has to be 0. Set each factor equal to 0. Solve each equation. You can check these solutions by substituting each one at a time into the original equation, (x + 4)(x – 3) = 0.

How do you find zeros in factored form?

How to find zeros from Factored FormNow that you've substituted 'y' as zero, you can see that 'r' is qual to 'x'y=(x-r)0=(x-r)0+r=x-r+r.r=x.You can do the same for. y=(x-s), so you can figure out both the zeros/x-intercepts.y=(x-6) 0=x-6. 0+6=x-6+6. 6=x.x=s+r/2. x=6-2/2. x=4/2. x=2.More items...

Standard Form of an Equation

Sometimes we can solve an equation by putting it into Standard Form and then using the Zero Product Property:

Standard Form and the Zero Product Property

It is tempting to divide by (x+3), but that is dividing by zero when x = −3

Solving Quadratic Equations Using the Zero Product Property

We will first solve some quadratic equations by using the Zero Product Property. The Zero Product Property says that if the product of two quantities is zero, it must be that at least one of the quantities is zero. The only way to get a product equal to zero is to multiply by zero itself.

Solution

We usually will do a little more work than we did in this last example to solve the linear equations that result from using the Zero Product Property.

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