Factoring a Trinomial when A is 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 is 1?

Back

The general form is x² + bx + c = (x + p)(x + q), where p and q are numbers that add to b and multiply to c.

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: x² - 2x - 15

Back

(x - 5)(x + 3)

Front

Factor the trinomial: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

What are the steps to factor a trinomial when A is 1?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to c and add to b. 3. Write the factors as (x + p)(x + q).

Front

What is the significance of the coefficients in a trinomial?

Back

The coefficients determine the shape and position of the parabola represented by the trinomial.