Factoring quadratic trinomial

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What is a quadratic trinomial?

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A quadratic trinomial is a polynomial of the form ax^2 + bx + c, where a, b, and c are constants, and a ≠ 0.

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What does it mean to factor a quadratic trinomial?

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Factoring a quadratic trinomial means rewriting it as a product of two binomials.

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What is the general form of factoring a quadratic trinomial?

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The general form is (x + p)(x + q), where p and q are numbers that satisfy the equation x^2 + (p+q)x + pq.

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How do you find the factors of a quadratic trinomial?

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To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the trinomial ax^2 + bx + c.

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(x + 4)(x - 6)

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(3x + 8)(3x - 8)

Tags

CCSS.HSA.APR.C.4

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(x + 12)(x - 3)

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(x + 3)(x + 1)

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What is the difference of squares?

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The difference of squares is a special case of factoring, expressed as a^2 - b^2 = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

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(x + 6)(x - 6)

Tags

CCSS.HSA.APR.C.4