Factoring Quick Check

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

How do you find the GCF of 3x^2 and -2x?

Back

The GCF is x, as it is the highest common factor of the coefficients (3 and -2) and the variable part.

Front

What is the first step in factoring a polynomial?

Back

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

Front

Factor the expression: k^2 + 2k - 63.

Back

(k - 7)(k + 9)

Front

Factor the expression: 5x^2 + 20x - 105.

Back

5(x - 3)(x + 7)

Front

What is the difference of squares?

Back

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

Front

Factor the expression: 4x^2 - 25.

Back

(2x + 5)(2x - 5)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What does it mean for an expression to be factorable?

Back

An expression is factorable if it can be expressed as a product of two or more simpler expressions.