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 = 0, 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 + bx + c.

Front

How do you identify the factors of a trinomial?

Back

To identify factors, look for two numbers that multiply to 'ac' (the product of a and c) and add to 'b'.

Front

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

Back

(x + 2)(x + 3)

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

Factor the trinomial: x^2 - 7x + 10

Back

(x - 2)(x - 5)

Front

What is the difference between a binomial and a trinomial?

Back

A binomial has two terms, while a trinomial has three terms.

Front

Factor the trinomial: x^2 + 4x + 4

Back

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