Factor by Grouping

Front

What is Factor by Grouping?

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A method of factoring that involves grouping terms with common factors to simplify the expression.

Front

How do you identify common factors in a polynomial?

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Look for terms that share a common variable and coefficient, then factor them out.

Front

What is the first step in factoring by grouping?

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Group the terms of the polynomial into pairs or sets that have common factors.

Front

Factor the expression: 20x³ - 25x² + 4x - 5

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(5x² + 1)(4x - 5)

Front

Factor the expression: x² + 12x - 3x - 36

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(x + 12)(x - 3)

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Factor the expression: 2n² + 10n + 3n + 15

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(2n + 3)(n + 5)

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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: 7r³ - 8r² + 42r - 48

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(r² + 6)(7r - 8)

Front

What is a polynomial?

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An algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What does it mean for a polynomial to be factorable?

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A polynomial is factorable if it can be expressed as a product of two or more polynomials.