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, 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 factor the trinomial 3a² + 4a + 1?

Back

(3a + 1)(a + 1) is the factored form.

Front

What is the factored form of x² + 9x - 36?

Back

(x + 12)(x - 3) is the factored form.

Front

How do you factor the trinomial 5x² - 7x + 2 completely?

Back

(5x - 2)(x - 1) is the completely factored form.

Front

What is the factored form of b² + 8b + 7?

Back

(b + 7)(b + 1) is the factored form.

Front

How do you factor 2m² + 3m - 9?

Back

(m + 3)(2m - 3) is the factored form.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.