WRITING POLYNOMIALS AS DIVISOR TIMES QUOTIENT PLUS REMAINDER WORKSHEET

Problem 1 :

The equation 

kx2+14x-203x-2 = 5x+8 - 43x-2

is true for all values of x ≠ 2/3, where k is a constant. What is the value of k ?

(a)  8       (b)  9     (c)  11     (d)  15

Solution

Problem 2 :

3x2+x+2x-1 = ax+b + cx -1

Where a, b and c are constants. What is the value of a + b + c ?

Solution

Problem 3 :

In the following find the value of R

2x2-5x+32x+1 = x-3 + R2x +1

Solution

Problem 4 :

14x2+9x-20ax-1 = 7x+8 + -12ax-1

In the equation above, a is a constant and ax − 1 ≠ 1. What is the value of a ?

Solution

Problem 5 :

From the information given below, find the value A.

6x2-5x+4-3x+1 = -2x+1+A-3x+1

Solution

Problem 6 :

x2-x-ax-2 = x+1+8x-2

Solution

Problem 7 :

In the following, find the value of A.

-2x2+5x+10-x+4 = 2x+3-A-x+4

Solution

Answer Key

1)  k = 15

2) a = 3, b = 4, c = 6, a + b + c = 13

3)  R = 6

4)  a = 2

5)  A = 3

6)  a = 6

7)  A = 2

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