Factor Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + 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 standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

How do you find the GCF of a trinomial?

Back

Identify the common factors of the coefficients and the variable terms.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

What is the purpose of the AC method in factoring?

Back

The AC method helps to find two numbers that multiply to ac and add to b.

Front

Factor the trinomial: 6x^2 - 5x - 4

Back

(3x - 4)(2x + 1) or (3x + 4)(2x - 1) depending on the method used.

Front

What are the factors of d^2 - 10d + 25?

Back

(d - 5)(d - 5) or (d - 5)^2.

Front

How do you check if your factors are correct?

Back

Multiply the factors back together to see if you get the original trinomial.