Factoring 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 are the factors of x^2 - 9?

Back

(x - 3)(x + 3) because it is a difference of squares.

Front

How do you find the factors of x^2 + bx + c?

Back

Look for two numbers that multiply to c and add to b.

Front

What is the factored form of x^2 + 5x + 6?

Back

(x + 2)(x + 3) because 2 and 3 multiply to 6 and add to 5.

Front

What is the zero product property?

Back

If a * b = 0, then either a = 0 or b = 0.

Front

What are the solutions of the equation x^2 - 4 = 0?

Back

x = 2 and x = -2, since it factors to (x - 2)(x + 2).

Front

What is the factored form of x^2 + 4x + 4?

Back

(x + 2)(x + 2) or (x + 2)^2.

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.