1

Use the factors here to decompose the following cubes as much as possible:

F(x)=x (cube of) -7x+6

2

Find a given factor that (x+4) is f (x) = cube of x () +8x+ax+ 12, and then the fact rises completely by f (x).

three

Prove that (x-2) is a factor of the cube of f(x)= x-4x+x+6, and then solve f (x) = 0.

four

Find three solutions to each of the following equations.

10x cubic -29x+25x-6 = 0.

five

The expression ax+bx+6 has a remainder 15 when divided by (x- 1) and a remainder 1 when divided by (x+ 1). Find the values of a and b.

six

Given that (x- 1) is the cube of x +ax+bx-4, find the values of a and b.

seven

The width of the rectangle is 7 cm shorter than the length. If the circumference of a rectangle is 38 cm, find

(1) Width

(2) Length

(c) the area of a rectangle

Ⅱ

In 2004,1June was a Wednesday. What day is June 20 10 16?

If half of a number is 30, then three-quarters of this number is _ _ _ _.

3. The sum of digits of the following product is 999×555.

4. The sum of three positive integers is 28. The maximum possible product of these integers is _ _ _ _ _.

5. In the following, □ and △ are different numbers. The remainder of 503 divided by □ is 20. When 503 is divided by δ, the remainder is 20. When 493 is divided by□ x δ, the remainder is _ _ _ _ _.

A lady, her brother, her son and daughter (all related by blood) play volleyball together. The worst player's twin (one of four players) and the best player are opposite sex. The worst player and the best player are peers. Who is not the worst player?

A) only brothers

B) daughters only

C) sons and daughters only

D) only for ladies and daughters

E) for ladies only

7. If you continue with the given number pattern, where will the number 320 appear in the first row?

1-Line 65438 +0

2 3-Second Row

4 5 6-Third Row

7 8 9 10-Line 4

The answers are given in line order; Location.