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
How many \( x \)-intercepts does the function\( f\left(x\right)=x\left(8x+3\right)^4\left(2x+1\right)^3 \) has ?
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多项式・因式与余式挑战
Which of the following expressions has x + 2b as a factor, where b is a positive integer?
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多项式・因式与余式进阶
f(x)= 3(x - 2)(x -6)(x -9)
lf the given function f is graphed in the xy-plane, where y = f(x), what is the x-coordinate of an x-intercept of the graph?
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多项式・因式与余式挑战
56(x3+64)(x4 -81) = 0
How many distinct real solutions does the given equation have?
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多项式・因式与余式挑战
38z18+bz9+30
In the given expression, b is a positive integer. If qz9+ r is a factor of the expression, where q and r are positive integers, what is the greatest possible value of b?
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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?
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多项式・因式与余式挑战
For a polynomial function f , the graph of \( y=f\left(x\right) \) in the xy-plane contains the points(\( −6,0 \)), (\( 7,\ 0 \) ), (\( 0,\ 0 \) ), and (\( 4,\ 0 \) ). Which of the following must be a factor of \( f\left(x\right) \) ?
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多项式・因式与余式挑战
For the polynomial function f, a solution to the equation \( f\left(x\right)=0 \) is \( x=7 \) , and one of the factors of \( f\left(x\right) \) is \( x+5 \) . Which of the following could be the graph of \( y=f\left(x\right) \) in the xy-plane?
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多项式・因式与余式挑战
For the polynomial function v, \( v\left(2\right)=3 \) and \( v\left(0\right)=-13 \). The graph of \( y=v\left(x\right) \) in the xy-plane passes through the points \( \left(-2,7\right) \) and \( \left(6,0\right) \). Which of the following must be true?
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多项式・因式与余式挑战
\( 2x(x−4)(x+9)=0 \)
What is one of the solutions to the given equation?
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多项式・因式与余式进阶
The expression \( \left(6x+y\right)\left(x+6y\right)\left(4x+y\right) \)is equivalent to \( ax^{3}+bx^{2}y+c \)\( xy^{2}+dy^{3} \) ,where a, b, c, and d are constanuts. What is the value of c?
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多项式・因式与余式挑战
\( 34z^{18}+bz^9+30 \)
In the given expression, b is a positive integer. If \( qz^9+r \) is a factor of the expression, where q and r are positive integers, what is the greatest possible value of b?
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