找到你今天要练的题。

\( g\left(x\right)=x^3+ax^2+bx+c \) 
The function g is defined by the given equation, where a, b, and c are integer constants. The zeros of the function are \( −2 \) , \( −7 \) , and \( 6 \) . What is the value of a?

\( f\left(x\right)=\sqrt{x^3+ax^2+bx+c} \) 
The function f is defined by the given equation, where a, b, and c are integer constants. In the xy-plane, the graph of \( y=f\left(x\right) \)  passes through the point \( \left(5,\ 0\right) \), and \( f\left(0\right)=15 \). What is the value of \( 5a+b \)?

The function f is defined by \( f(x)=4(x-3)(x^2-k) \), where \( k \) is a constant. In the xy-plane, the graph of \( y=f(x) \) passes through the point \( (-8,\ 0) \). What is the value of \( f(0) \)?

\( 26z^{18}+bz^{9}+70 \) 
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?

\( f\left(x\right)=3\left(x-1\right)\left(x-8\right)\left(x-11\right) \) 
If the given function \( f \) is graphed in the xy-plane, where \( y=f\left(x\right) \), what is the x-coordinate of an x-intercept of the graph?

Which expression is equivalent to \( (5x^3-3x+8)-(9x^6+5x-3) \) ?

Which expression is a factor of \( 36x^2(x+12)-36(x+12)^3 \) ?

For the polynomial function \( f \), the graph of \( y=f(x) \) in the xy-plane passes through the points \( (-3,\ 0) \), \( (1,\ 0) \), and \( (4,\ 0) \). Which of the following must be a factor of \( f(x) \)?

Which expression is equivalent to \( \left(8nr^2+2nr\right)+\left(4n^2r+3nr\right) \) ?

The binomial \( x+28y \) is a factor of which of the following? 

One of the factors of \( 8x^4+26x^2+21 \) is \( ax^2+b \) , where a and b are positive constants. Which of the following is a possible value of ab?  

Which expression is equivalent to \( (4nr^2+6nr)+(7n^2r+2nr) \) ?