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 first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c from the trinomial.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for two numbers that, when multiplied, equal the product of a and c, and when added, equal b.

Front

Factor the trinomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor completely: 3x^2 + 10x - 8

Back

(3x - 2)(x + 4)

Front

Factor the trinomial: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: k^2 + 7k + 10

Back

(k + 2)(k + 5)

Front

Factor the trinomial: x^2 - 16x + 48

Back

(x - 12)(x - 4)