factoring trinomials a=1

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, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, usually 'a' in ax^2.

Front

How do you identify the factors of a trinomial?

Back

To identify factors, look for two numbers that multiply to 'ac' and add to 'b' in ax^2 + bx + c.

Front

What is the process of factoring x^2 + bx + c?

Back

Find two numbers that multiply to c and add to b, then rewrite the trinomial as (x + m)(x + n).

Front

Factor the trinomial: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into simpler components, while expanding is multiplying out the components.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 2) or (3a - 5).

Front

How do you check if your factors are correct?

Back

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