Factor by Grouping

Front

What is Factor by Grouping?

Back

A method used to factor polynomials by grouping terms with common factors.

Front

How do you identify common factors in a polynomial?

Back

Look for terms that share a common variable or numerical coefficient.

Front

What is the first step in factoring by grouping?

Back

Group the polynomial into pairs of terms.

Front

Factor the expression: x² + 8x + 2x + 16

Back

(x+2)(x+8)

Front

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

Back

(2n + 3)(n + 5)

Front

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

Back

(r² + 6)(7r - 8)

Front

Factor the expression: 3v² + 3v - 7v - 7

Back

(3v - 7)(v + 1)

Front

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

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(4p² + 3)(p + 2)

Front

What is a polynomial?

Back

An algebraic expression consisting of variables, coefficients, and exponents.

Front

What does it mean to factor a polynomial completely?

Back

To express the polynomial as a product of its irreducible factors.