Factor Trinomials Intro

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 are the steps to factor a trinomial?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the trinomial using these numbers. 4. Factor by grouping.

Front

What two numbers multiply to give you 40 and add to give you 13?

Back

8 and 5

Front

What two numbers multiply to give you -9 and add to give you 8?

Back

9 and -1

Front

What two numbers multiply to give you -63 and add to give you -2?

Back

-9 and 7

Front

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

Back

The roots of a trinomial are the values of x that make the trinomial equal to zero, and they correspond to the values that make each binomial factor equal to zero.

Front

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

Back

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

Front

How can you check if your factoring is correct?

Back

You can check by multiplying the factors back together to see if you obtain the original trinomial.