Factor Trinomial a>1 (Honors)

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What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

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What does it mean to factor a trinomial?

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Factoring a trinomial involves rewriting it as a product of two binomials.

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What is the standard form of a quadratic equation?

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The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

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What is the leading coefficient in a trinomial?

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The leading coefficient is the coefficient of the term with the highest degree, usually 'a' in ax².

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How do you identify a trinomial that can be factored?

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A trinomial can often be factored if it can be expressed as a product of two binomials.

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What is the first step in factoring a trinomial when a > 1?

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The first step is to multiply 'a' and 'c' (the leading coefficient and the constant term) to find a product.

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What is the significance of the discriminant in quadratic equations?

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The discriminant (b² - 4ac) determines the nature of the roots of the quadratic equation.

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What does it mean for a trinomial to be factored completely?

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A trinomial is factored completely when it cannot be factored further into simpler polynomials.

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What is the factored form of 4n² - 17n - 15?

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(n - 5)(4n + 3)

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How do you factor out the greatest common factor (GCF)?

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To factor out the GCF, identify the largest factor common to all terms and divide each term by it.