Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with 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 is ax^2 + bx + c, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial of the form x^2 + bx + c?

Back

Identify two numbers that multiply to c and add to b.

Front

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

Back

(x - 2)(x - 3)

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) affects the shape and direction of the parabola represented by the quadratic.

Front

How do you determine if a trinomial is factorable?

Back

A trinomial is factorable if there are two numbers that multiply to the constant term and add to the linear coefficient.

Front

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

Back

(x + 2)(x + 5)

Front

What is the relationship between the roots of a trinomial and its factors?

Back

The roots of the trinomial are the values of x that make each factor equal to zero.

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)