### (Sample Printed worksheet)

1)If x2 + kx + 30 = (x - 5)(x - 6), find the value of k.
 2) If f(x) = 8x + 9, find the inverse of f, f-1.
 3) Find sum of zeroes of polynomial -a2 + 81.
 4) If , find the value of .
 5) If , find value of .

### Choose correct answer(s) from given choice

6)If f(x) = ax2 + bx + c, and f(1) = 4 and f(-1) = 5, then find the value of a + c.
 a. 4 b. 4.5 c. 5 d. 3.5
7)If x70 + 70 is divided by (x - 1), find the remainder.
 a. 69 b. 71 c. 70 d. 0

### Fill in the blanks

8)If 2x4 + x3 + x2 + 2x - 21 is divide by x + 2, the remainder = .
 9) If (x - 1) is a factor of 2x4 + kx3 - 2x2, the value of k = .

### Check True/False

10)(x - 2) is a factor of x2 - x - 3.
True    False

1) -11

2)
 f-1(x) = x - 9 8

Step 1
f(x) = 8x + 9
x = [f(x) - 9]/8
Step 2
Therefore
 f-1(x) = x - 9 8

3) 0

4) -3

5) 0

6) b. 4.5
 Step 1 f(1) = 4 a(12) + b(1) + c = 4 a + b + c = 4 ______________ (1) Step 2 Similarly f(-1) = 5 a(-12) + b(-1) + c = 5 a - b + c = 5 ______________ (2) Step 3 On adding eq. (1) and (2) 2a + 2c = 9 a + c = 4.5

7) b. 71
8)
9)
10) False