Factoring Trinomials A>1

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the general form of factoring a trinomial when a > 1?

Back

The general form is ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in factoring a trinomial with a leading coefficient greater than 1?

Back

The first step is to multiply 'a' and 'c' (the leading coefficient and the constant term) to find the product.

Front

What is the purpose of finding two numbers that multiply to ac and add to b?

Back

These two numbers help in splitting the middle term (bx) to facilitate factoring.

Front

What is the significance of the GCF (Greatest Common Factor) in factoring?

Back

The GCF is the largest factor that divides all terms in the polynomial, and factoring it out simplifies the expression.

Front

How do you factor out the GCF from a trinomial?

Back

Identify the GCF of all terms, divide each term by the GCF, and write the trinomial as the GCF multiplied by the simplified expression.

Front

What is the difference between factoring completely and factoring partially?

Back

Factoring completely means breaking down the expression into its simplest factors, while factoring partially may leave some factors intact.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms, typically in the form ax + b.