The factors of the trinomial based on the information given include:
C. x – 7
E. x + 2
<h3>What is a trinomial?</h3>
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.
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