Solving Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with 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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

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.

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, at least one of the factors must be zero.

Front

How do you solve a trinomial by factoring?

Back

To solve a trinomial by factoring, rewrite it as a product of two binomials, set each binomial equal to zero, and solve for the variable.

Front

What are the steps to factor the trinomial n² + 11n + 30?

Back

1. Find two numbers that multiply to 30 and add to 11. 2. These numbers are 5 and 6. 3. Rewrite as (n + 5)(n + 6) = 0.

Front

Solve by factoring: x² - 6x + 8 = 0

Back

(x - 2)(x - 4) = 0; Solutions: x = 2, 4.

Front

Solve by factoring: x² + 3x - 18 = 0

Back

(x + 6)(x - 3) = 0; Solutions: x = 3, -6.

Front

Solve by factoring: k² + 8k + 12 = 0

Back

(k + 2)(k + 6) = 0; Solutions: k = -2, -6.