Factoring 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 is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the relationship between the coefficients and roots of a trinomial?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

How do you identify a perfect square trinomial?

Back

A perfect square trinomial can be expressed as (a + b)² or (a - b)², and has the form a² ± 2ab + b².

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c from the trinomial ax² + bx + c.

Front

Factor the trinomial: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor completely: 5x² - 7x + 2

Back

(5x - 2)(x - 1)

Front

Factor the trinomial: 2m² + 3m - 9

Back

(m + 3)(2m - 3)