5272道题目5525 条题源记录 · 相同内容已合并
二次式展开・配方与等价形式基础
Which expression is equivalent to \( 18x^2+9x+9 \)?
原库参考解析
二次式展开・配方与等价形式挑战
The expression \( 6x^4+17x^2+5 \) can be rewritten as \( (3x^2+a)(2x^2+b) \) , where a and b are positive integers, or as \( (3x^2+c)(2x^2+d) \), where c and d are positive nonintegers. What is the value of \( a+c \)?
原库参考解析
二次式展开・配方与等价形式进阶
The expression \( (3x+2)(x+5) \) can be written in the form \( ax^2+bx+c \), where a, b, and c are constants. What is the value of \( a+b+c \)?
原库参考解析
二次式展开・配方与等价形式进阶
If \( 3(x-5)^2=192 \), what is the value of \( x^2-10x \) ?
原库参考解析
二次式展开・配方与等价形式挑战
Which of the following is a factor of the expression \( 5x^2+(45r+7)x+63r \) , where r is a nonzero constant?
I. \( x+9r \)
II. \( 5x+7r \)
原库参考解析
二次式展开・配方与等价形式挑战
The expression \( 4(2x+19)(x−5)−(9x+13) \) can be written in the form \( ax^2+bx+c \), where a, b, and c are constants. What is the value of b?
原库参考解析
二次式展开・配方与等价形式挑战
\( y=5x^2-40x+35 \)
The given equation represents a parabola in the xy-plane. Which of the following equations that represent the same parabola displays the x-intercepts as constants or coefficients?
原库参考解析
二次式展开・配方与等价形式挑战
\( f(x)=x^2-4x-780 \)
The function \( f \) is defined by the given equation. Which of the following equivalent forms of the equation displays the minimum value of the function as a constant or coefficient?
原库参考解析
二次式展开・配方与等价形式挑战
The expression \( (3x+5)(7x−8) \) can be written in the form \( ax^2+bx+c \), where a, b, and c are constants. What is the value of \( a+b \)?
原库参考解析
二次式展开・配方与等价形式进阶
Which expression is equivalent to \( 2x^4+x^2+x^4+11x^2 \)?
原库参考解析
二次式展开・配方与等价形式挑战
The expression \( 7(8x+17)(x−4)−(6x+13) \) can be written in the form \( ax^2+bx+c \), where \( a \), \( b \), and \( c \) are constants. What is the value of \( b \)?
原库参考解析
二次式展开・配方与等价形式挑战
Which expression is equivalent to \( 3x^4+3x^3y^2+14xy+14y^3 \) ?
原库参考解析
