Answer :

Sure! Let's factor the polynomial expression [tex]\(-45x^3 - 27x\)[/tex] step by step.

1. Identify the Greatest Common Factor (GCF):

Look at the coefficients and the variable terms in the expression:
- Coefficients: -45 and -27
- The variable term: [tex]\(x\)[/tex]

The GCF of [tex]\(-45\)[/tex] and [tex]\(-27\)[/tex] is [tex]\(-9\)[/tex]. Also, both terms have the variable [tex]\(x\)[/tex].

2. Factor out the GCF:

Once we have identified the GCF as [tex]\(-9x\)[/tex], we can factor it out from each term in the expression:

[tex]\[
-45x^3 - 27x = -9x \cdot (5x^2 + 3)
\][/tex]

Here's how it works:
- Divide [tex]\(-45x^3\)[/tex] by [tex]\(-9x\)[/tex] to get [tex]\(5x^2\)[/tex].
- Divide [tex]\(-27x\)[/tex] by [tex]\(-9x\)[/tex] to get [tex]\(3\)[/tex].

3. Write the factored expression:

The polynomial [tex]\( -45x^3 - 27x \)[/tex] can therefore be factored as:

[tex]\[
-9x(5x^2 + 3)
\][/tex]

This is the polynomial multiplicative expression equivalent to the given expression.

Thanks for taking the time to read What is a polynomial expression that is equal to tex 45x 3 27x tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada