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 (ax^2 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 'c' and add to 'b' in ax^2 + bx + c.

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

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 - 9x + 20

Back

(x - 5)(x - 4)

Front

What is the zero-product property?

Back

If the product of two factors is zero, at least one of the factors must be zero.