Factoring by grouping

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What is factoring by grouping?

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Factoring by grouping is a method used to factor polynomials by grouping terms with common factors and then factoring out the common binomial.

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What is the first step in factoring by grouping?

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The first step is to group the terms of the polynomial into pairs or sets that have common factors.

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@@ ext{Factored form: } (x^2 - 2)(x + 7)$$

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@@ ext{Factored form: } (5p^2 + 1)(4p - 5)$$

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What is a common factor?

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A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

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@@ ext{Factored form: } (5n^2 + 3)(n - 2)$$

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What does it mean to factor an expression?

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To factor an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

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@@ ext{Factored form: } (4p^2 + 3)(p + 2)$$

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Yes, it is a factor.

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What is the significance of factoring in algebra?

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Factoring is significant in algebra as it simplifies expressions, solves equations, and helps in graphing polynomial functions.