Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + 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 ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial?

Back

The first step is to look for two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the trinomial: x² - 15x + 50

Back

(x - 10)(x - 5)

Front

Factor the trinomial: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

Factor the trinomial: 3v² - 4v - 7

Back

(3v - 7)(v + 1)