Factoring Assignment

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 purpose of factoring quadratic expressions?

Back

Factoring quadratic expressions helps to simplify equations, solve for roots, and analyze the behavior of quadratic functions.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What are the steps to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression using these numbers. 4. Factor by grouping.

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the difference between a prime polynomial and a composite polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials over the integers, while a composite polynomial can.

Front

Factor the expression: 2x² + 3x - 9

Back

(x + 3)(2x - 3)

Front

What is the significance of the zero product property in factoring?

Back

The zero product property states that if the product of two factors is zero, at least one of the factors must be zero, which helps in finding the roots of the equation.

Front

Factor the expression: x² - 6x + 8

Back

(x - 2)(x - 4)