Factoring a = 1 and GCF

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does GCF stand for?

Back

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

Front

Factor the expression: x² - 9x + 20

Back

(x - 5)(x - 4)

Front

Factor the expression: x² - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the expression: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the expression: n² + 5n - 6

Back

(n - 1)(n + 6)

Front

Factor completely: 2k² - 14k - 60

Back

2(k - 10)(k + 3)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax² + bx + c.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

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

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the values that make each factor equal to zero.