9.3-9.5 Basic Factoring (Honors)

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Multiply (2n + 2)(6n + 1)

Back

12n^2 + 14n + 2

Front

What is factoring in algebra?

Back

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

Front

Solve by factoring: x^2 - 9x + 20 = 0

Back

x = 4 and x = 5

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

Factor -4b^5 + 4b^3 + 16b^2

Back

-4b^2(b^3 - b - 4)

Front

What does it mean to factor a polynomial?

Back

To factor a polynomial means to express it as a product of its factors, which can be numbers, variables, or other polynomials.

Front

Do GCF first then factor the polynomial: 6g^2 - 6g - 12

Back

6(g - 2)(g + 1)

Front

Multiply x^2(2x + 3)

Back

2x^3 + 3x^2

Front

What is a quadratic equation?

Back

A quadratic equation is a second-degree polynomial equation in the form ax^2 + bx + c = 0, where a ≠ 0.