Algebra II Factoring Review

Front

Factor: 3v² - 4v - 7

Back

(3v-7)(v+1)

Front

Factor: 3a² + 4a + 1

Back

(3a+1)(a+1)

Front

What is the greatest common factor of 20a²b² and 50b³?

Back

10b²

Front

Factor Completely: 15t² - 27t - 6

Back

3(5t +1)(t - 2)

Front

Factor completely: 3x² + 10x - 8

Back

(3x - 2)(x + 4)

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

Define the greatest common factor (GCF).

Back

The GCF is the largest factor that two or more numbers have in common.

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 does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a² - b² = (a - b)(a + b).