Free Printable Long Division - Special Products

1.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

2.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

3.

Identify the missing term to complete the solution.

a)

-7

b)

7

c)

-57

d)

57

4.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect, and error occurs on the 2nd line!

c)

This is incorrect, and the error occurs on the 4th line!

d)

This is incorrect, and the error occurs on the 3rd line!

5.

What is the remainder when you divide
$\left(2x^3-5x-7\right)\ by\ \left(x+2\right)$ ?

a)

-9

b)

11

c)

-13

d)

-1

6.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

7.

What is the product of (x-4)(x-4)?

a)

x²-8x-16

b)

x²-8x-8

c)

x²-8x+16

d)

x²+8x+16

8.

What is (4x²+5)(4x²-5)?

a)

16x⁴- 25

b)

16x² - 25

c)

8x⁴ - 10

d)

8x²- 10

9.

(5a⁵ - 2b)²

a)

10a¹⁰ - 10ab + 4b²

b)

25a¹⁰ - 20a⁵b + 4b²

c)

25a¹⁰ + 10a⁵b + 10b²

d)

25a¹⁰ - 7a⁵b + 4b²

10.

The square of a binomial always produces a ___________________ .

a)

trinomial

b)

perfect square

c)

perfect square trinomial

d)

quadratic trinomial

11.

$\left(4m-9n\right)\left(4m+9n\right)$

a)

$16m^2-81n^2$

b)

$8m^2-18n^2$

c)

$16m^2+81n^2$

d)

$16m^2-72mn-81n^2$

12.

$\left(3-a^2\right)\left(9+3a^2+a^4\right)$

a)

$27-a^6$

b)

$27+a^6$

c)

$9-a^4$

13.

Select all the options that show special product

a)

$\left(x-15\right)\left(x+15\right)$

b)

$\left(4a+2b\right)\left(16a^2+8ab+4b^2\right)$

c)

$\left(a+b+c\right)^2$

d)

$\left(10+9x\right)\left(10+9x\right)$

e)

$\left(x+a\right)\left(a-x\right)$

Long Division - Special Products

Total questions: 13

Worksheet time: 52mins

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