Free Printable Mathematics 9 Factoring

Worksheets

Mathematics 9 Factoring

Total questions: 15

Worksheet time: 34mins

Name

Class

Date

In ( $x^2$ - 100 ) is equal to ( x + 10 ) and

( x + 10)

( x - 10)

Which is an example of difference of two squares?

( x³- 4)

( x² - 3)

( x² + 4)

( x² - 4)

If the area of your garden is ( d^{2 _} 16 ) and the length is

( d + 4) , what is the width?

( d+ 2)

( d - 2)

( d + 4)

(d - 4)

a² - b² = ( a + b ) ( a - b ) is the pattern in factoring the difference of two squares.

Yes

Factor ( 4a² - 36 )

( a - 6 ) ( a - 6 )

( 2a + 6 ) ( 2a - 6 )

( a + 6 ) ( a + 6 )

Complete the formula
a³-b³=

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

Complete the formula

a³+b³=

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

Factor: x³+ 1

(x + 1)³

(x+1)(x²- x + 1)

(x - 1) (x² + x - 1)

(x + 1)(x² - 2x + 1)

Factor: 8x³ - 1

(2x - 1)(4x² + 2x + 1)

(2x + 1)(4x² - 2x + 1)

(2x - 1)(4x² - 2x - 1)

(2x + 1)(4x² +2x + 1)

10.

Factor
27x³-64

(3x-4)(9x²+12x+16)

(3x-4)(9x²-12x+16)

(3x+4)(9x²-12x+16)

(3x+4)(9x²+12x+16)

11.

Fully Factor the Following
8x³-27

(2x+3)(4x²-6x+9)

(2x-3)(4x²+6x+9)

(2x-3)(4x²+6x-9)

(2x-3)(2x²+6x+9)

12.

Factor using differencesum/ of cubes. (use your notes!)
a³ + b³

(a-b)(a²+ab+b²)

(a+b)(a²-ab+b²)

(a-b)(a²-ab+b²)

(a+b)(a²+ab+b²)

13.

Which number is both a perfect square and a perfect cube?

14.

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

Yes

Yes, getting GCF first

It is a sum of squares

15.

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

DIFFERENCE OF TWO CUBES

DIFFERENCE OF TWO SQUARES

FACTORING BY GCF

SUM OF TWO CUBES

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Mathematics 9 Factoring

Total questions: 15

Worksheet time: 34mins

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