To simplify the expression [tex]\( 10x - 15x^2 \)[/tex], let's go through the following steps:
1. Identify and Rewrite the Terms:
We have two terms here, [tex]\( 10x \)[/tex] and [tex]\( -15x^2 \)[/tex].
2. Reorganize the Expression:
We should arrange the terms in standard polynomial form, that is, in decreasing powers of [tex]\( x \)[/tex].
3. Simplify Each Term:
Since the terms are already simplified individually [tex]\( 10x \)[/tex] and [tex]\( -15x^2 \)[/tex], we move to the next step.
4. Combine the Terms:
We need both terms in a simplified form together. Also, we factor out any common factors if necessary, but in this case, they don't have a common factor that's useful for further simplification.
Combining the steps gives us:
[tex]\[ -15x^2 + 10x \][/tex]
The simplified polynomial expression is:
[tex]\[ 15x^2 + 10x \][/tex]
So, the result of the expression [tex]\( 10x - 15x^2 \)[/tex] is:
[tex]\[ 15x^2 + 10x \][/tex]
