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
\( f(x)=13x^{10}+4x^8 \)
\( g(x)=-19x^7+8x^5 \)
The polynomial \( p(x) \) is defined as the product of the given polynomials, \( f(x) \) and \( g(x) \). What is the coefficient of \( x^{15} \) in \( p(x) \)?
\( g(x)=-19x^7+8x^5 \)
The polynomial \( p(x) \) is defined as the product of the given polynomials, \( f(x) \) and \( g(x) \). What is the coefficient of \( x^{15} \) in \( p(x) \)?
参考答案
多项式・因式与余式挑战
The function h is defined by \( h(x)=(x+p)(x-4)(2x-12) \), where p is a constant. In the xy-plane, the graph of \( y=h(x) \) passes through the point (-2, 0). What is the value of h(0)?
参考答案
多项式・因式与余式进阶
\( 4x(x-3)(x+8)=0 \)
What is one of the solutions to the given equation?
What is one of the solutions to the given equation?
原库参考解析
多项式・因式与余式挑战
\( (5x+10)(2x+1)−(3x+34) \)
Which of the following is a factor of the given expression ?
I. \( 2x+6 \)
II. \( 10x−8 \)
Which of the following is a factor of the given expression ?
I. \( 2x+6 \)
II. \( 10x−8 \)
参考答案
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 b?
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 b?
参考答案
多项式・因式与余式进阶
\( 2x(x-1)(x+7)=0 \)
What is one of the solutions to the given equation?
What is one of the solutions to the given equation?
参考答案
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 \( 3 \). What is the value of a?
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 \( 3 \). What is the value of a?
参考答案
多项式・因式与余式挑战
The function h is defined by \( h(x)=(x+p)(x-2)(2x-12) \), where p is a constant. In the xy-plane, the graph of \( y=h(x) \) passes through the point \( (-7,\ 0) \). What is the value of \( h(1) \)?
参考答案
多项式・因式与余式进阶
For the polynomial function r, the graph of \( y=r(x) \) in the xy-plane passes through the points (6, 8) and (14, 0). Which of the following must be a factor of \( r(x) \)?
参考答案
多项式・因式与余式挑战
\( y=-\frac{1}{9}(x+13)(x^2-25) \)
In the xy-plane, the graph of the given equation contains the point (s, t). If \( -5\le s\le5 \), which of the following is NOT a possible value of t?
In the xy-plane, the graph of the given equation contains the point (s, t). If \( -5\le s\le5 \), which of the following is NOT a possible value of t?
参考答案
多项式・因式与余式挑战
Which expression is a factor of \( y^2(x-6)-16(x-6)^3 \)?
参考答案
多项式・因式与余式挑战
\( y=-\frac{1}{8}(x+13)(x^2-49) \)
In the xy-plane, the graph of the given equation contains the point (s, t). If \( -7\le s\le7 \), which of the following is NOT a possible value of t?
In the xy-plane, the graph of the given equation contains the point (s, t). If \( -7\le s\le7 \), which of the following is NOT a possible value of t?
参考答案
