Grade 9 - Polynomials

(Sample Printed worksheet)

Answer The Following

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

Answers

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
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