🟪Flashcardizz: “Factoring Polynomials Quick Check”

Front

What is factoring in algebra?

Back

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

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor them out, and then factor the resulting expression.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express the trinomial as (x + m)(x + n).

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a^2 - b^2 = (a + b)(a - b).

Front

What is the formula for factoring a perfect square trinomial?

Back

A perfect square trinomial can be factored as (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2.

Front

How do you factor 3x^3 + 9x^2 - 15x?

Back

Factor out the GCF: 3x(x^2 + 3x - 5).

Front

What is the factored form of x^2 - 17x + 72?

Back

The factored form is (x - 9)(x - 8).

Front

What is the first step in factoring polynomials?

Back

Identify and factor out the GCF from all terms.