Factoring All Types

Front

Factor completely: 25x² - 81

Back

(5x + 9)(5x - 9)

Front

Factor: n² + 16n + 63

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(n + 7)(n + 9)

Front

Factor by grouping: 3x³ - x² + 6x - 2

Back

(x² + 2)(3x - 1)

Front

Factor: x² + 81

Back

Prime

Front

Factor: 4x² - 64y²

Back

(2x - 8y)(2x + 8y)

Front

Definition: Factoring

Back

The process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

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Definition: Prime Polynomial

Back

A polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

Definition: Difference of Squares

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A² - B² = (A + B)(A - B), where A and B are any expressions.

Front

Example of Factoring a Quadratic: x² + 5x + 6

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(x + 2)(x + 3)

Front

Example of Factoring a Difference of Squares: 49 - x²

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(7 + x)(7 - x)