Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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

Factor the expression completely: 5x² - 7x + 2

Back

(5x - 2)(x - 1)

Front

Which of the following is a factor of x² - 10x + 24?

Back

x - 4

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

How do you factor out the GCF from 10x³ - 15x?

Back

5x(2x² - 3) is the factored form.

Front

What is a factor of the expression 4n² - 17n - 15?

Back

4n + 3

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

What is the relationship between the roots of a polynomial and its factors?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.