Question Bank
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Difficulty: Hard
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_770 | Math | advanced_math | equivalent_expressions | Hard | The expression \(3x^3 + 72x^2 + 405x\) has a factor in the form \(x + b\), where \(b\) is a positive constant. What is the ... | |
| math_adv_769 | Math | advanced_math | equivalent_expressions | Hard | One factor of \(7x^3 + 147x^2 + 686x\) is \(x + b\), where \(b\) is positive. What is the least possible value of \(b\)? | |
| math_adv_768 | Math | advanced_math | equivalent_expressions | Hard | A polynomial is given by \(6x^3 + 90x^2 + 324x\). If \(x + b\) is a factor and \(b\) is a positive constant, what is the sm... | |
| math_adv_767 | Math | advanced_math | equivalent_expressions | Hard | For the polynomial \(2x^3 + 34x^2 + 120x\), one factor is \(x + b\), where \(b\) is positive. What is the minimum possible ... | |
| math_adv_766 | Math | advanced_math | equivalent_expressions | Hard | The expression \(5x^3 + 70x^2 + 225x\) has a factor \(x + b\), where \(b\) is a positive constant. What is the smallest pos... | |
| math_adv_765 | Math | advanced_math | equivalent_expressions | Hard | One factor of \(4x^3 + 76x^2 + 336x\) has the form \(x + b\), where \(b\) is positive. What is the least possible value of ... | |
| math_adv_764 | Math | advanced_math | equivalent_expressions | Hard | A factor of \(3x^3 + 45x^2 + 126x\) is \(x + b\), where \(b\) is a positive constant. What is the smallest possible value o... | |
| math_adv_763 | Math | advanced_math | nonlinear_functions | Hard | The function \(h\) is defined by \(h(x)=a^x+b\), where \(a\) and \(b\) are positive constants. The graph of \(y=h(x)\) passes t... | |
| math_adv_762 | Math | advanced_math | nonlinear_functions | Hard | The function \(h\) is defined by \(h(x)=a^x+b\), where \(a\) and \(b\) are positive constants. The graph of \(y=h(x)\) passes t... | |
| math_adv_761 | Math | advanced_math | nonlinear_functions | Hard | The function \(h\) is defined by \(h(x)=a^x+b\), where \(a\) and \(b\) are positive constants. The graph of \(y=h(x)\) passes t... |