Factoring Trinomials Simple Method

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 first step in factoring a trinomial?

Back

Identify two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: x^2 - 15x + 50

Back

(x - 10)(x - 5)

Front

Factor the trinomial: x^2 + 12x + 35

Back

(x + 5)(x + 7)

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 factor out the GCF from a polynomial?

Back

Divide each term by the GCF and write it outside the parentheses.

Front

Factor completely: 5v^2 - 30v + 40

Back

5(v - 4)(v - 2)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.