Algebra 1 Flashcardizz Factoring

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of 30 and 40?

Back

List the factors: Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30; Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. The GCF is 10.

Front

Factor the expression: 30x + 40

Back

10(3x + 4)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is a polynomial?

Back

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

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.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you factor a binomial?

Back

To factor a binomial, look for common factors or use special factoring formulas like the difference of squares.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a + b)(a - b).