Factoring a>1

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What is factoring in algebra?

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Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What does it mean to factor a quadratic expression?

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Factoring a quadratic expression involves rewriting it in the form (ax + b)(cx + d), where a, b, c, and d are constants.

Front

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 and a ≠ 0.

Front

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

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The first step is to multiply the coefficient of x² (a) by the constant term (c) to find the product ac.

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How do you find two numbers that multiply to ac and add to b?

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Look for two numbers that, when multiplied, equal ac and, when added, equal b. These numbers will help in splitting the middle term.

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What is the process of splitting the middle term in factoring?

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Splitting the middle term involves rewriting the quadratic expression by breaking the middle term into two terms using the two numbers found.

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What is the grouping method in factoring?

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The grouping method involves grouping terms in pairs, factoring out the common factors, and then factoring the resulting expression.

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How do you factor the expression 3a² + 4a + 1?

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The expression factors to (3a + 1)(a + 1).

Front

What is the factored form of 6x² + 7x - 3?

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The expression factors to (2x + 3)(3x - 1).

Front

How do you factor 5v² - 30v + 40?

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The expression factors to 5(v - 2)(v - 4).