Question

The model of a trinomial is shown.

An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled + x squared, 7 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 14 tiles below the negative x tiles are labeled negative.
What are the factors of the trinomial? Select two options.

x – 14
x + 7
x – 7
x – 2
x + 2

1. Thunguyet
The factors of the trinomial based on the information given include:
C. x – 7
E. x + 2

### What is a trinomial?

It should be noted that a trinomial is an algebraic expression that has three non-zero terms. Here, the examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z. Also, 2a² + 5a + 7 is a trinomial in one variables.
In this case, the algebra tile configuration has 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled + x squared, 7 are labeled negative x. Here, the trinomial is x² – 5x – 14.
The factors will be:
x² – 5x – 14.
x² + 2x – 7x – 14
x(x + 2) – 7(x + 2)
= (x + 2)(x – 7)
A polynomial with three terms is called a trinomial.
In conclusion, the correct options are C and E.