Factoring when a=1 and using GCF

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 does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you find the GCF of 5x^2 and 20x?

Back

The GCF is 5x, as it is the highest common factor of both terms.

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

Factor the expression: x^2 – 5x – 24

Back

(x − 8)(x + 3)

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression: k^2 − 2k − 24

Back

(k + 4)(k − 6)

Front

How do you factor using the GCF?

Back

Factor out the GCF from each term in the expression.

Front

Factor the expression: 7x + 21 using the GCF

Back

7(x + 3)

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression is typically written as (x - p)(x - q), where p and q are the roots.