Factoring Trinomials (a not 1)

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 when a ≠ 1?

Back

The general form is ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.

Front

What is the first step in factoring a trinomial?

Back

Identify the greatest common factor (GCF) of the terms.

Front

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

Back

Look for two numbers that are factors of ac and whose sum equals b.

Front

Factor the trinomial: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

Factor completely: 15t² - 27t - 6

Back

3(5t + 1)(t - 2)

Front

Factor completely: 3n² - 15n + 18

Back

3(n - 3)(n - 2)

Front

What is the GCF of 3x² + 18x + 15?

Back

The GCF is 3.

Front

Factor completely: 3x² + 10x - 8

Back

(3x - 2)(x + 4)