Converting Quadratic Forms

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What is the factored form of a quadratic equation?

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How do you convert a quadratic equation to factored form?

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To convert a quadratic equation to factored form, first find the greatest common factor (GCF), then factor the quadratic expression into two binomials.

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What is the vertex form of a quadratic equation?

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How do you convert a quadratic equation to vertex form?

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To convert to vertex form, complete the square on the quadratic expression.

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What is the standard form of a quadratic equation?

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What is the significance of the coefficient 'a' in a quadratic equation?

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The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

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What does the discriminant of a quadratic equation tell us?

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What is the process of factoring by grouping?

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Factoring by grouping involves rearranging terms in a polynomial and grouping them to factor out common factors.

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What is the greatest common factor (GCF)?

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The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

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How do you find the roots of a quadratic equation?

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