Factoring Trinomials 2

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 standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you identify the coefficients in a trinomial?

Back

In 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.

Front

What is the relationship between the factors and the roots of a trinomial?

Back

The factors of a trinomial correspond to its roots, which are the values of x that make the trinomial equal to zero.

Front

How do you factor x^2 + 5x + 4?

Back

The factors are (x + 4)(x + 1).

Front

What is the factored form of 6x^2 + x - 12?

Back

The factored form is (2x + 3)(3x - 4).

Front

How do you factor 4k^2 + 13k + 3?

Back

The factors are (4k + 1)(k + 3).

Front

What is the factored form of x^2 - 5x - 24?

Back

The factored form is (x - 8)(x + 3).