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 general form of factoring a trinomial?

Back

The general form is (px + q)(rx + s) where p, q, r, and s are constants.

Front

Factor the trinomial: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)

Front

Which expression is a factor of: k^2 - 2k - 24?

Back

(k - 6)

Front

What is the complete factorization of the trinomial: 5x^2 + 10x - 15?

Back

5(x + 3)(x - 1)

Front

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

Back

(k + 4)(k - 6)

Front

Factor the expression: x^2 - x - 20

Back

(x - 5)(x + 4)

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c from the trinomial ax^2 + bx + c.

Front

How do you find the factors of a trinomial?

Back

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