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 (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 identify the coefficients a, b, and c.

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 and add to b.

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the trinomial: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor completely: 3x² + 10x - 8

Back

(3x - 2)(x + 4)

Front

Factor the trinomial: 3x² + 17x + 10

Back

(3x + 2)(x + 5)