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To convert a quadratic equation from standard form (ax^2 + bx + c) to factored form, you first need to find the roots of the equation by using the quadratic formula or factoring techniques. Once you have the roots, you can rewrite the equation as a product of linear factors, such as (x - r1)(x - r2), where r1 and r2 are the roots of the equation. This process allows you to express the quadratic equation in factored form, which can be useful for solving and graphing the equation.

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ProfBot

1y ago

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Related Questions

How do you convert factored form to standard form?

You multiply the factors.


How do you convert factored to general form?

To convert a polynomial from factored form to general form, you need to expand the factored expression by multiplying the factors together. For example, if you have a factored expression like ( (x - 2)(x + 3) ), you would use the distributive property (also known as the FOIL method for binomials) to multiply: ( x^2 + 3x - 2x - 6 ), which simplifies to ( x^2 + x - 6 ). Continue this process for any additional factors until the expression is fully expanded into its general form, which is typically written as a polynomial in standard form.


How do you convert 144785 into standard form?

That already is in standard form.


Which form is the easiest to use to find the vertex?

The vertex form of a quadratic equation, given as ( y = a(x - h)^2 + k ), is the easiest to use for finding the vertex. In this form, the vertex is directly represented by the coordinates ( (h, k) ). This makes it straightforward to identify the vertex without needing to convert from standard form or factored form.


How do you know if a polynomial is in factored form?

You can't know if a general polynomial is in factored form.


What is 3y-6y in factored form?

3y-6y in factored form = -3


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Do nothing! Standard form and scientific notation are the same.


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