please when you answer the question please show me step by step if you can please

1. Factor fully:

a. 252 ( )2

b. 643 125

2. Evaluate for f(x) = 3x3 - 2x2 - 4x + 3

a) f(-2) b) f(1) c) f(31

)

3. When 3 + 32 + + 10 is divided by - 5, the remainder is 15. Determine the value of k.

4. Determine the value of k so that ( - 2) is a factor of 3 22 + 4 24.

5. When is divided by x - 2, the remainder is 59. When it is divided by x + 1, the remainder is -1. Find the values of a and b.

6. Solve the following equation:

a. ( 4)2( 2 25) = 0

7. State the degree, the leading coefficient, and the end behaviour of the polynomial function.

8. Sketch a possible graph of the function = ( + 3)2( 2)( 6) . a. State the degree and the leading coefficient

b. State the x- intercepts,

c. State the y - intercept

d. State the end behaviour.

9. Factor the polynomial usin

10. Determine whether 3x - 4 is a factor of the following polynomial . DO NOT USE LONG DIVISION

11. Divide and express the answer using a division statement: (4x - 7 + 6x2 + 4x4 - 8x3) (2x2 - 1)