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多项式・因式与余式进阶

题目图表
The graph of y = f(x) is shown, where the function f is defined by f(x) =ax3+ bx2+ cx + d and a,b,c, and d are constants.For how many values of x does f(x) = 0?
原库参考解析
Bluebook试题2 · 原库模块 1 · Q10作答 ↗
多项式・因式与余式进阶

题目图表
Which of the following could be the equation of the graph shown in the xy-plane?
原库参考解析
Bluebook试题2 · 原库模块 1 · Q18作答 ↗
多项式・因式与余式挑战

One of the factors of 2x3 +42x2+208x is x + b, where b is a positive constant. What is the smallest possible value of b?
原库参考解析
Bluebook试题2 · 原库模块 3 · Q16作答 ↗
多项式・因式与余式进阶

(x+ 2)(x-5)(x+9)=0
What is a positive solution to the given equation?
原库参考解析
Bluebook试题6 · 原库模块 1 · Q18作答 ↗
多项式・因式与余式挑战

The function g is defined by \( g(x)=x(x−2)(x+6)^{2} \) . The value of g(7 - w) is 0, where w is a constant. What is the sum of all possible values of w?
原库参考解析
Bluebook试题6 · 原库模块 2 · Q15作答 ↗
多项式・因式与余式进阶

What is an x-coordinate of an x-intercept of the graph of \( y=3\left(x-14\right)\left(x+5\right)\left(x+4\right) \) in the xy-plane?
原库参考解析
Bluebook试题7 · 原库模块 1 · Q11作答 ↗
多项式・因式与余式挑战

\( f\left(x\right)=x^2+bx \) 
\( g\left(x\right)=9x^2-27x \) 
Functions \( f \)and g are given, and in function , b is a constant. If \( f\left(x\right)\ ·\ g\left(x\right)=9x^4-26x^3-3x^2 \), what is the value of b?
原库参考解析
Bluebook试题7 · 原库模块 3 · Q9作答 ↗
多项式・因式与余式进阶

\( y=2\left(x-d\right)\left(x+d\right)\left(x+g\right)\left(x-d\right) \) 
In the given equation, d and g are unique positive constants. When the equation is graphed in the xy-plane, how many distinct x-intercepts does the graph have?
原库参考解析
Bluebook试题8 · 原库模块 1 · Q20作答 ↗
多项式・因式与余式进阶

\( 3x\left(x-4\right)\left(x+5\right)=0 \) 
What is one of the solutions to the given equation?
原库参考解析
Bluebook试题8 · 原库模块 1 · Q8作答 ↗
多项式・因式与余式挑战

Which of the following expressions has a factor of \( x+2b \), where b is a positive integer constant?
原库参考解析
Bluebook试题8 · 原库模块 3 · Q19作答 ↗
多项式・因式与余式挑战

One of the factors of 2x3 + 42x2 +208x is x + b , where b is a positive constant. What is the smallest possible value of b ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q17作答 ↗
多项式・因式与余式挑战

(ax + 3)(5x2 - bx + 4) = 20x3 -9x2 -2x + 12
The equation above is true for all x, where a and b are constants. What is the value of ab ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q1作答 ↗