Alg 2 MP2 Flashcard 1 - 12/6/24 Distributive Law and Factoring

Front

What is the Distributive Law in algebra?

Back

The Distributive Law states that for any numbers a, b, and c, the equation a(b + c) = ab + ac holds true. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Multiply the expression: (5x - 3)(5x + 3).

Back

25x^2 - 9

Front

Simplify the expression using the Distributive Law: 3x(x - 6).

Back

3x^2 - 18

Front

What are the solutions of the equation x^2 - 1 = 0?

Back

x = -1, x = 1

Front

Identify the coefficients a, b, and c in the quadratic equation: 4x^2 - 8x - 3 = 0.

Back

a = 4, b = -8, c = -3

Front

Solve the quadratic equation: a^2 + 2a - 24 = 0.

Back

a = -6, 4

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0.

Front

What does factoring a quadratic expression involve?

Back

Factoring a quadratic expression involves rewriting it as a product of its linear factors, typically in the form (px + q)(rx + s).

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.