4B Review

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor.

Front

What is the first step in factoring a polynomial?

Back

The first step in factoring a polynomial is to find the GCF (Greatest Common Factor).

Front

How do you factor the expression 3x² - 15x completely?

Back

3x² - 15x can be factored as 3x(x - 5).

Front

What is the factored form of x² - 5x - 24?

Back

The factored form of x² - 5x - 24 is (x + 3)(x - 8).

Front

How do you factor the difference of squares 25x² - 81?

Back

25x² - 81 can be factored as (5x - 9)(5x + 9).

Front

What is the factored form of the quadratic 5x² - 17x + 6?

Back

The factored form of 5x² - 17x + 6 is (x - 3)(5x - 2).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the purpose of factoring in algebra?

Back

The purpose of factoring in algebra is to simplify expressions, solve equations, and find roots of polynomials.

Front

What is the difference between factoring and expanding?

Back

Factoring is the process of breaking down an expression into simpler components (factors), while expanding is the process of multiplying out the factors to create a polynomial.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.