Fast Factor Quadratics

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What is a trinomial?

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A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

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How do you factor a trinomial of the form x^2 + bx + c?

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To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b.

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What is the first step in factoring a quadratic expression?

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The first step is to identify the coefficients a, b, and c in the standard form ax^2 + bx + c.

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What does it mean to factor an expression?

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Factoring an expression means rewriting it as a product of its factors.

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What is the significance of the zero product property in factoring?

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The zero product property states that if the product of two factors is zero, at least one of the factors must be zero.

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How can you check if your factorization is correct?

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You can check by multiplying the factors back together to see if you obtain the original expression.