Divide. If the polynomial does not divide evenly, include the remainder as a fraction. \( (10 s-17) \div(5 s-4) \) \begin{tabular}{|l|l} (10 \end{tabular}

When dividing \( (10s - 17) \) by \( (5s - 4) \), we can start with the long division method. Divide the first term of the numerator, \( 10s \), by the first term of the denominator, \( 5s \), which gives us \( 2 \). Next, multiply \( 2 \) by \( (5s - 4) \), resulting in \( 10s - 8 \). Subtract this from \( (10s - 17) \): \[ (10s - 17) - (10s - 8) = -17 + 8 = -9. \] So, we have \( 2 \) as the quotient and a remainder of \( -9 \). Therefore, the result is: \[ 2 - \frac{9}{5s - 4}. \] Understanding the long division of polynomials can also be visualized like a game! Imagine you’re trying to break a big cookie (the polynomial) into smaller pieces (the divisor), and sometimes you end up with crumbs (the remainder). It's all about sharing equally, making sure you account for every part! If you want to dive deeper into polynomial division, grab some resources or books focusing on algebra. Titles like "Algebra Made Easy" or Khan Academy’s online lessons can provide clear, bite-sized explanations that make these concepts as easy as pie—or cookies!