Factor with GCF and Factoring By Grouping

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 10x^4 and 35x^5?

Back

Identify the common factors: GCF = 5x^4.

Front

What is the first step in factoring an expression?

Back

Identify and factor out the GCF from all terms in the expression.

Front

Factor the expression: 2x^3 + 4x^2 + 8x.

Back

2x(x^2 + 2x + 4).

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms to factor out common factors.

Front

Factor the expression: 2ce + 7c + 7d + 2de.

Back

(c + d)(2e + 7).

Front

What is the result of factoring 5b^2 - 10b - 3b + 6?

Back

(b - 2)(5b - 3).

Front

How do you factor the expression 3x^2 + 9x + 4x + 12?

Back

Group terms: (3x^2 + 9x) + (4x + 12) = 3x(x + 3) + 4(x + 3) = (x + 4)(3x + 3).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents combined using addition, subtraction, and multiplication.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.