Your mother wants to donate bond paper to your school. She then asked you to help her compute reams of bond paper can she buy for \( \left(6 x^{4}-17 x^{3}+24 x^{2}-34 x+24\right) \) pesos if one ream of bond pap \( (3 x-4) \) pesos?

To find out how many reams of bond paper your mother can buy for a certain amount of money, we need to divide the total amount of money by the cost of one ream of bond paper. Given: - Total amount of money: \(6x^{4}-17x^{3}+24x^{2}-34x+24\) pesos - Cost of one ream of bond paper: \(3x-4\) pesos To find the number of reams of bond paper your mother can buy, we will divide the total amount of money by the cost of one ream of bond paper. Let's calculate the number of reams of bond paper your mother can buy. Simplify the expression by following steps: - step0: Solution: \(\frac{\left(6x^{4}-17x^{3}+24x^{2}-34x+24\right)}{\left(3x-4\right)}\) - step1: Remove the parentheses: \(\frac{6x^{4}-17x^{3}+24x^{2}-34x+24}{3x-4}\) - step2: Factor the expression: \(\frac{\left(3x-4\right)\left(2x^{3}-3x^{2}+4x-6\right)}{3x-4}\) - step3: Reduce the fraction: \(2x^{3}-3x^{2}+4x-6\) The number of reams of bond paper your mother can buy is \(2x^{3}-3x^{2}+4x-6\).