Question

几道SAT2的数学题

1. what is the remainder when the polynomial x^4-5x^2-10x-12 is divided by x+2
2. what are the asymptote of f(x)= 6x^2/4-x^2
我知道x=2和x=-2 但是不知道y=-6 是怎么算出来的
3. what is the y-intercept of the line tangent to the circle x^2+y^2=1 at the point (3/5, 4/5)
不太懂题目的意思
4. Given the statement " If ∠ABC is a right angle, then it measures 90 ," an indirect proof of the statement could begin with which of the following assumptions?
A. ∠ABC does not measures 90
B. ∠ABC measures 90
C. ∠ABC is a right angle
D. ∠ABC is an obtuse angle
E. ∠ABC measures 30
不太懂题目的意思
5. by the rational roos test, how many possible rational roots does f(x)=4x^3-x^2+10x-6 have?

麻烦了
还有个问题
f(x)=(x-2)^3+6 关于X轴对称的方程怎么算？
f(x)=∣x-1∣- 5 关于 y=-5 对称的方程怎么算？

Answer 1

1.问remainder，把x=-2带入 x^4-5x^2-10x-12 =，答案就是余数(你也可以用常除法，根据题目意思，不过速度很慢）
2....我通常是画图，毕竟都是选择题
3.what is the y-intercept of the line tangent to the circle x^2+y^2=1 at the point (3/5, 4/5)
圆x^2+y^2=1与线性方程在点(3/5, 4/5）相切，这条线性方程的截距是？（翻译出来应该就明白了吧，我第一次也没读懂
4. Given the statement " If ∠ABC is a right angle, then it measures 90 ," an indirect proof of the statement could begin with which of the following assumptions?
如果是∠ABC是一个直角，那么度数是90.可以直接得出下面那个假设？
5. by the rational roos test, how many possible rational roots does f(x)=4x^3-x^2+10x-6 have?
f(x)=4x^3-x^2+10x-6 可能有哪些有理根？
（可以用笛卡尔规则or看degree？）

你补充的那2个问题....
1.f(x)=(x-2)^3+6
f(x)=-(x-2)^3-6
2.f(x)=∣x-1∣- 5 关于 y=-5 对称的方程怎么算？
感觉很麻烦....哪上面来的？
我不知道方法
如果考试遇到时间充裕就画图，取点，拟合个方程....（通常放弃
这是选择题吧，画图，带值，排除..

追问

第5题的答案有16个根 知道是怎么做出来的么？
还有第4题答案应该选哪个？ 那个答案上写的是A