TEST: Factoring Trinomials

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 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 the coefficients in a trinomial?

Back

In ax^2 + bx + c, a is the coefficient of x^2, b is the coefficient of x, and c is the constant term.

Front

What is the first step in factoring a trinomial?

Back

Identify two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the trinomial: x^2 - 4x - 32

Back

(x + 4)(x - 8)

Front

Factor the trinomial: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the trinomial: x^2 - 5x - 24

Back

(x - 8)(x + 3)

Front

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

Back

(x - 5)(x - 3)