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 general form of a factored trinomial?

Back

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

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, '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 identify the coefficients a, b, and c from the trinomial.

Front

What is the significance of the product-sum method in factoring?

Back

The product-sum method helps find two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the trinomial: 8x^2 + 27x + 9

Back

(8x + 3)(x + 3) or (x + 3)(8x + 3).

Front

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

Back

(x + 3)(x + 12) or (x + 12)(x + 3).

Front

Factor the trinomial: 5x^2 + 17x + 6

Back

(5x + 2)(x + 3) or (x + 3)(5x + 2).

Front

Factor the trinomial: 3x^2 + 11x - 4

Back

(x + 4)(3x - 1) or (3x - 1)(x + 4).