Factoring Trinomials and Binomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, typically in the form ax + b.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the general form of factoring a trinomial?

Back

The general form is ax² + bx + c = (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 purpose of factoring in algebra?

Back

Factoring simplifies expressions, solves equations, and helps find roots of polynomials.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c, and look for two numbers that multiply to ac and add to b.

Front

Factor the trinomial: 5x² + 17x + 6

Back

(5x + 2)(x + 3)

Front

Factor the trinomial: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

Factor the trinomial: 6x² – 19x – 7

Back

(2x – 7)(3x + 1)