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 trinomial?

Back

The standard form is ax^2 + bx + c, 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 in 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: 3a^2 + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the trinomial: x^2 - 15x + 36

Back

(x - 12)(x - 3)

Front

Factor the trinomial: v^2 + 3v - 88

Back

(v + 11)(v - 8)

Front

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

Back

(3v - 7)(v + 1)

Front

Factor the trinomial: 5x^2 - 28x + 32

Back

(5x - 8)(x - 4)