Questions: 10x^2+5x

Transcript text: $10 x^{2}+5 x$

Solution

Solution Steps

The given expression is a polynomial. To solve or simplify it, we can factor out the greatest common factor (GCF) from the terms. The GCF of the terms $10x^2$ and $5x$ is $5x$. By factoring out $5x$, we can simplify the expression.

Step 1: Identify the Expression

We start with the polynomial expression given by \[ 10x^2 + 5x. \]

Step 2: Factor the Expression

To simplify the expression, we factor out the greatest common factor (GCF) from the terms. The GCF of $10x^2$ and $5x$ is $5x$. Thus, we can rewrite the expression as: \[ 10x^2 + 5x = 5x(2x + 1). \]

Final Answer

The factored form of the expression is \[ \boxed{5x(2x + 1)}. \]

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