Factoring Trinomials (a=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 standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) determines the direction of the parabola when graphed.

Front

How do you identify if a trinomial is prime?

Back

A trinomial is prime if it cannot be factored into the product of two binomials.

Front

What is the method to factor a trinomial when a=1?

Back

To factor a trinomial with a=1, find two numbers that multiply to c and add to b.

Front

Factor the trinomial: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the trinomial: x² - 7x + 10

Back

(x - 2)(x - 5)

Front

What are the steps to factor n² + 16n + 63?

Back

1. Identify two numbers that multiply to 63 and add to 16: 7 and 9. 2. Write as (n + 7)(n + 9).

Front

Factor the trinomial: p² + 12p + 36

Back

(p + 6)(p + 6) or (p + 6)²