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

The table above gives selected values of a polynomial function p. Based on the values in the table, which of the following must be a factor of p ?
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多项式・因式与余式挑战
h(x) = x3 + ax2 + bx+c
The function h is defined above, where a, b, and c are integer constants. If the zeros of the function are -5, 6, and 7, what is the value of c ?
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多项式・因式与余式挑战
Which of the following expressions is equivalent to \( 8x^{10}-8x^9+88x \) ?
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多项式・因式与余式挑战
If \( k−x \) is a factor of the expression \( -x^2+\frac{1}{29}nk^2 \), where n and k are constants and \( k>0 \) ,what is the value of n?
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多项式・因式与余式进阶
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?

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多项式・因式与余式挑战
Which expression is equivalent to (7x3+7x)-(6x3-3x )?
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根式与有理指数进阶
For a certain circuit, its power P, in watts; current C, in amperes; voltage V, in volts; and resistance R, in ohms, are related as\( \frac{CV^2}{P}=\sqrt{PR} \) , where P, C, V, and R are positive. When R = 26, which equation correctly expresses P in terms of C and V?
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根式与有理指数挑战
\( \sqrt{x^2-20x+100}-11x=0 \)
What are all possible solutions to the given equation?
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根式与有理指数进阶
For a certain circuit, its power \( P \), in watts; current \( C \), in amperes; voltage \( V \), in volts; and resistance \( R \), in ohms, are related as \( \frac{CV^2}{P}=\sqrt{PR} \) , where \( P \), \( C \), \( V \), and \( R \) are positive. When = 28, which equation correctly expresses \( P \) in terms of \( C \) and \( V \) ?
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根式与有理指数挑战
\( \sqrt{\left(x-70\right)^2}=-6x \)
If \( x \) \( < \) 0, what is the value of \( x \) ?
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根式与有理指数进阶
b2+5c=9dThe given equation relates the real numbers b, c, and d, where d > 5/9c. Which equation correctly expresses b in terms of c and d?
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根式与有理指数进阶
b2 +5c =9d
The given equation relates the real numbers b, c, and d, where d >\( \frac{5}{9} \)c. Which equation correctly express b in terms of c and d ?
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