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 and add to b, aiding in factoring.

Front

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

Back

(x + 4)(3x - 1)

Front

Factor the trinomial: x^2 - 17x + 72

Back

(x - 8)(x - 9)

Front

Factor the trinomial: 4x^2 - 15x - 4

Back

(x - 4)(4x + 1)

Front

Factor the trinomial: 2x^2 + 14x - 60

Back

2(x + 10)(x - 3)