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 roots and factors of a polynomial?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.

Front

How do you find the roots of a trinomial by factoring?

Back

To find the roots, factor the trinomial into two binomials and set each factor equal to zero.

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Factor the trinomial: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the trinomial: x^2 - 7x + 10

Back

(x - 2)(x - 5)

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: 2x^2 + 8x + 6

Back

2(x + 1)(x + 3)