Factoring Trinomials Review

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 quadratic equation?

Back

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

Front

How do you factor the trinomial x^2 + 5x + 6?

Back

(x + 2)(x + 3) because 2 and 3 add to 5 and multiply to 6.

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: 5x^2 - 7x + 2.

Back

(5x - 2)(x - 1) because -2 and -1 multiply to 2 and add to -7.

Front

Solve by factoring: x^2 + 3x - 18 = 0.

Back

x = 3 and x = -6.

Front

Factor the trinomial: 4n^2 - 17n - 15.

Back

(n - 5)(4n + 3).

Front

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

Back

(k + 4)(k - 6).