The expression given, \( 5x^2 - 18 \), is a quadratic expression, but it's not a complete quadratic trinomial because it lacks a middle term (the linear term involving \( x \)).

To clarify:

A **quadratic trinomial** generally takes the form:
\[
ax^2 + bx + c
\]
where \( a \), \( b \), and \( c \) are constants, and \( b \) is not zero.

Your expression:
\[
5x^2 - 18
\]
is actually a **binomial** because it has only two terms. 

To factor this expression, recognize it as a difference of squares:
\[
5x^2 - 18 = \sqrt{5x^2}^2 - \sqrt{18}^2
\]
However, neither term is a perfect square, so this expression is not easily factorizable over the integers. 

If you want to treat this as a trinomial, you could add a term, such as \( bx \), to create a full quadratic trinomial:
\[
5x^2 + bx - 18
\]
where \( b \) could be any coefficient you choose.

Would you like more details, or do you have other questions about quadratic expressions?

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Here are five related questions:

1. How do you factor a quadratic trinomial with a middle term?
2. What is the difference of squares, and how is it factored?
3. How can you complete the square for quadratic expressions?
4. How does the discriminant help in solving quadratic equations?
5. Can quadratic trinomials be factored over the real numbers?

**Tip:** Always check for common factors before factoring a quadratic expression.

Learn how to understand and factor the quadratic expression 5x^2 - 18 with a detailed explanation. This problem covers key algebraic concepts, including quadratic equations, factoring techniques, and the difference of squares. Suitable for students in Grades 7-9.

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