Algebra 2: Unit 5 Flashcard 1

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: 5x² - 15x + 10

Back

5(x - 2)(x - 1)

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is a prime polynomial?

Back

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

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, including any GCF.

Front

Factor the expression by GCF: 6m² + 16m

Back

2m(3m + 8)

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.