3. Factor: GCF, DOTS, Grouping, a>1

Front

What does GCF stand for in factoring?

Back

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

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF (Greatest Common Factor) of the terms.

Front

Factor the expression: -10xy^9z + 8y^3z^5

Back

2y^3z(-5xy^6 + 4z^4)

Front

Factor the expression: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)

Front

Can the expression 9n^2 + 1 be factored using the Difference of Squares?

Back

No, it cannot be factored using the Difference of Squares.

Front

Factor the expression: 3x^2 - 75

Back

3(x + 5)(x - 5)

Front

What is the Difference of Squares?

Back

The Difference of Squares is a factoring technique used for expressions in the form a^2 - b^2, which factors to (a + b)(a - b).

Front

What is the formula for factoring a perfect square trinomial?

Back

The formula is a^2 ± 2ab + b^2 = (a ± b)^2.

Front

What is grouping in factoring?

Back

Grouping is a method of factoring where terms are grouped in pairs to factor out common factors.

Front

What is the result of factoring the expression x^2 - 9?

Back

(x + 3)(x - 3) using the Difference of Squares.