Factor Binomials/Trinomials Warm-Up

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What are binomials and trinomials?

Back

A binomial is a polynomial with two terms, while a trinomial is a polynomial with three terms.

Front

How do you factor the trinomial x^2 + 7x + 12?

Back

You can factor it as (x + 3)(x + 4).

Front

What is the greatest common factor (GCF) and how is it used in factoring?

Back

The GCF is the largest factor that divides all terms in a polynomial. It is used to factor out common terms from the polynomial.

Front

How do you factor the expression 18k + 42k^2?

Back

You can factor it as 6k(3 + 7k).

Front

What is the difference between factoring by grouping and factoring using the quadratic formula?

Back

Factoring by grouping involves rearranging and grouping terms to find common factors, while the quadratic formula is used to find the roots of a quadratic equation.

Front

How do you factor the quadratic expression 7x^2 - 16x + 4?

Back

You can factor it as (x - 2)(7x - 2).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants.

Front

How do you factor the expression 3x^2 + 8x + 5?

Back

You can factor it as (x + 1)(3x + 5).

Front

What does it mean to write an expression in factored form?

Back

Writing an expression in factored form means expressing it as a product of its factors.