Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form of 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 of a quadratic equation is ax^2 + 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 equal to -b/a and the product of the roots is equal to c/a.

Front

How do you factor the trinomial x^2 + 9x - 36?

Back

The factors are (x + 12)(x - 3).

Front

What is the factored form of k^2 + 7k + 10?

Back

The factored form is (k + 2)(k + 5).

Front

How do you factor the trinomial x^2 - x - 20?

Back

The complete factorization is (x - 5)(x + 4).

Front

What is the factored form of 3x^2 + 10x - 8?

Back

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

Front

How do you factor the expression 3v^2 - 4v - 7?

Back

The factors are (3v - 7)(v + 1).

Front

What is a binomial?

Back

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