DMR Flashcard: Factoring Quadratic Expressions (a=1 & a^2-b^2)

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(x + 4)(x + 3) or (x + 3)(x + 4)

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(x - 3)(x - 1)

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(x - 4)(x + 2)

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(x + 9)(x - 9) or (x - 9)(x + 9)

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Define a quadratic expression.

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What is the standard form of a quadratic expression?

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

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It determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

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What is the process of factoring a quadratic expression?

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Finding two binomials that multiply to give the original quadratic expression.

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What is the difference of squares?

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Find two numbers that multiply to c and add to b.