Factoring Trinomials a=1

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 means rewriting it as a product of two binomials.

Front

What is the standard form of a trinomial?

Back

The standard form of a trinomial 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

How do you factor the trinomial x^2 + 5x + 6?

Back

The factors are (x + 2)(x + 3) because 2 * 3 = 6 and 2 + 3 = 5.

Front

What is the difference between a binomial and a trinomial?

Back

A binomial has two terms, while a trinomial has three terms.

Front

What is the factored form of x^2 - 9?

Back

The factored form is (x - 3)(x + 3), which is a difference of squares.

Front

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

Back

The leading coefficient (a) affects the direction of the parabola when graphed.

Front

How do you factor the trinomial x^2 - 7x + 10?

Back

The factors are (x - 2)(x - 5) because -2 * -5 = 10 and -2 + -5 = -7.

Front

What is the method called when you factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms to factor out common factors.