Factor by Grouping

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What is factoring by grouping?

Back

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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Factor the expression: x³ + 7x² - 2x - 14

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(x² - 2)(x + 7)

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Factor the expression: 5n³ - 10n² + 3n - 6

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(5n² + 3)(n - 2)

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Factor the expression: 7r³ - 8r² + 42r - 48

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(r² + 6)(7r - 8)

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Factor the expression: 4p³ + 8p² + 3p + 6

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(4p² + 3)(p + 2)

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Factor the expression: x³ - 4x² - 4x + 16

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(x - 4)(x² - 4)

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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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What is a binomial?

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A binomial is a polynomial that contains exactly two terms.

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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.