Factoring Trinomials

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

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 3a^2 + 4a + 1?

Back

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

Front

What is the factored form of v^2 + 3v - 88?

Back

(v + 11)(v - 8) is the factored form.

Front

How do you factor n^2 + 16n + 63?

Back

(n + 7)(n + 9) is the factored form.

Front

What is the factored form of 3v^2 - 4v - 7?

Back

(3v - 7)(v + 1) is the factored form.

Front

How do you factor 4n^2 - 17n - 15?

Back

(n - 5)(4n + 3) is the factored form.

Front

What is a binomial?

Back

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