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 standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

How do you determine if a trinomial is factorable?

Back

A trinomial is factorable if it can be expressed as a product of two binomials with rational coefficients.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax² + bx + c.

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is a prime polynomial?

Back

A prime polynomial is one that cannot be factored into the product of two non-constant polynomials.

Front

Factor the trinomial: 2m² + 3m - 9

Back

(m + 3)(2m - 3)