Free Printable Formative Assessment 8 [Division of Polynomials]

1.

Use either long or synthetic division in finding the quotient and the remainder of the given polynomials. Simplify your answer.

2x+x^3+7x^2-40\div\left(x-2\right)

a)

$x^2-9x+20;\ r=0$

b)

$x^2+9x+20;\ r=0$

c)

$x^2-9x-20;\ r=0$

d)

$x^2-9x+20;\ r=0$

2.

Use either long or synthetic division in finding the quotient and the remainder of the given polynomials. Simplify your answer.

6x^2+x^3+2x+44\div\left(x+2\right)

a)

$x^2+4x-6;\ r=56$

b)

$x^2+4x+6;\ r=56$

c)

$x^2-4x+6;\ r=56$

d)

$x^2-4x-6;\ r=56$

3.

Use either long or synthetic division in finding the quotient and the remainder of the given polynomials. Simplify your answer.

x^3+35+9x^2+13x\div\left(x-5\right)

a)

$x^2+14x+83;\ r=450$

b)

$x^2+14x-83;\ r=450$

c)

$x^2-14x+83;\ r=450$

d)

$x^2-14x-83;\ r=450$

4.

Use either long or synthetic division in finding the quotient and the remainder of the given polynomials. Simplify your answer.

4x^3+26x+320+21x^2\div\left(x+5\right)

a)

$4x^2+x+21\ ;\ r=215$

b)

$4x^2-x+21\ ;\ r=215$

c)

$4x^2+x-21\ ;\ r=215$

d)

$4x^2-x-21\ ;\ r=215$

5.

Use either long or synthetic division in finding the quotient and the remainder of the given polynomials. Simplify your answer.

13x+2x^3-5x^2-15\div\ \left(2x+5\right)

a)

$x^2-5x+6\ ;\ r=-45$

b)

$x^2-5x+6\ ;\ r=45$

c)

$x^2+5x-6\ ;\ r=-45$

d)

$x^2+5x-6\ ;\ r=45$

6.

What is the remainder when you divide $x^2+3x+10\ \div\ \left(x+2\right)?$

(a)

7.

What is the remainder when you divide $10x^3+5x^2+74x-40\ \div\ \left(2x+1\right)?$

(a)

8.

What is the remainder when you divide

12x^3+10x^2+5x+1\ \div\ \left(3x+1\right)?

(a)

9.

The total cost of

\left(3a-2b\right)

units of cell phone is

6a^2+5ab-6b^2

pesos. What expression represents the cost of one cell phone? Use long division to solve for the quotient.

a)

$2a-3b$

b)

$3a-2b$

c)

$a-3b$

d)

$2a+3b$

10.

If one ream of bond paper costs $\left(3x-4\right)$ pesos, how many reams can you buy for
$6x^4-17x^3+24x^2-34x+24$ pesos?

a)

$2x^3-3x^2+4x-6$

b)

$2x^3-3x^2-4x-6$

c)

$2x^3-3x^2+4x+6$

d)

$2x^3+3x^2+4x-6$

Formative Assessment 8 [Division of Polynomials]

Total questions: 10

Worksheet time: 50mins

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