5272道题目5525 条题源记录 · 相同内容已合并
多项式・因式与余式挑战
Which expression is a factor of \( y^2(x-8)-4(x-8)^3 \)?
参考答案
多项式・因式与余式进阶
The binomial \( x+6y \) is a factor of which of the following?
参考答案
多项式・因式与余式进阶
Which expression is a factor of \( 56y^3+40py^2+21y+15p \)?
参考答案
多项式・因式与余式进阶
\( y=x^3+bx^2+260x-372 \)
In the xy-plane, the graph of the given equation, where b is a constant, contains the points (2, 0), (r, 0), and (6, 0). What is the value of r?
In the xy-plane, the graph of the given equation, where b is a constant, contains the points (2, 0), (r, 0), and (6, 0). What is the value of r?
参考答案
多项式・因式与余式挑战
The graph of \( y=f(x) \) is shown where \( f(x)=ax^3+bx^2+cx+d \) and a, b, c, and d are constants. For how many distinct values of x does \( f(x)=0 \)?
参考答案
多项式・因式与余式挑战
Which expression is a factor of \( 36x^2\left(x+12\right)-36\left(x+12\right)^3 \) ?
原库参考解析
多项式・因式与余式挑战
\( g(x)=x^3+ax^2+bx+c \)
The function g is defined by the given equation, where a , b , and c are integer constants. The zeros of the function are -7, -2, and 4. What is the value of a ?
原库参考解析
多项式・因式与余式进阶
The graph of \( y=f\left(x\right) \) is shown, where the function \( f \) is defined by \( f\left(x\right)=ax^3+bx^2+cx+d \) and a, b, c, and d are constants. For how many values of x does \( f\left(x\right)=0 \)?
原库参考解析
多项式・因式与余式进阶
\( 52\left(x^3+64\right)\left(x^4-81\right)=0 \)
How many distinct real solutions does the given equation have?
原库参考解析
多项式・因式与余式基础
The graph of the polynomial function \( f \), where \( y=f\left(x\right) \), is shown. The y-intercept of the graph is \( \left(0,\ y\right) \). What is the value of y?
原库参考解析
多项式・因式与余式基础
For the polynomial function \( f \), the graph of\( y=f\left(x\right) \)in the xy-plane passes through the points (-5,0), (1,0), and (4,0). Which of the following must be a factor of \( f\left(x\right) \) ?
原库参考解析
多项式・因式与余式挑战
\( (9x^4+8x^3)-(7x^3+5x^2)-(3x^2+x) \)
The given expression can be written in the form \( 9x^4+x^3+ax^2-x \), where a is a constant. What is the value of a?
原库参考解析
