Question
What is \( 10 x^{2}-15 x+25 \) divided by 5 ? 1. \( 50 x^{2}-75 x+125 \) 2. \( 5 x^{2}-10 x+20 \) 3. \( 2 x^{2}-3 x+5 \) 4. \( 2 x-3+\frac{5}{x} \)
Ask by Lyons Bowers. in Canada
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is \(2x^{2}-3x+5\), choice 3.
Solution
Calculate or simplify the expression \( (10*x^2-15*x+25)/5 \).
Divide by following steps:
- step0: Divide the numbers:
\(\frac{\left(10x^{2}-15x+25\right)}{5}\)
- step1: Calculate:
\(\frac{10x^{2}-15x+25}{5}\)
- step2: Calculate:
\(2x^{2}-3x+5\)
The result of dividing \(10x^{2}-15x+25\) by 5 is \(2x^{2}-3x+5\).
Therefore, the correct answer is option 3: \(2x^{2}-3x+5\).
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Simplify this solution The Deep Dive
Dividing the expression \( 10 x^{2}-15 x+25 \) by 5 gives us \( 2 x^{2}-3 x+5 \). Not only is division by 5 a breeze, but it can also help you simplify polynomial expressions in a heartbeat! To arrive at the answer, you can easily split each term of the polynomial by 5: \( \frac{10 x^{2}}{5} - \frac{15 x}{5} + \frac{25}{5} \). This step-by-step approach will not only clarify the calculations but also fortify your understanding of polynomial manipulation!
