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Factoring Polynomials

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following is the factor of a2 - 2a3 + 2a4 ?

a)

a ( 1 - 2a + 2a2)

b)

a2 ( 2a + 2a2)

c)

a2 ( 1 - 2a + 2a2)

d)

None of the above

2.

Factor x2 + xy

a)

x + y

b)

x2(x + y)

c)

x ( x2 + y )

d)

x ( x + y )

3.

Which of the following is equal to ( x + 3) (x + 2) ?

a)

x2 + 5x + 6

b)

x2 - 5x - 6

c)

x2 + 5x - 6

d)

x2 + 6x + 5

4.

Which of the following is equal to (x + 3) ( x - 5)?

a)

x2 + 2x - 15

b)

x2 - 2x + 15

c)

x2 - 2x - 15

d)

x2 + 2x + 15

5.

Factor x2 + 19x + 84

a)

( x - 7 ) ( x - 12 )

b)

( x + 7) ( x + 12)

c)

( x + 8 ) ( x + 11 )

d)

( x - 8 ) ( x - 11 )

6.

Factor x2 - 9x + 20

a)

( x - 5 ) ( x + 4 )

b)

( x - 5 ) ( x - 4 )

c)

( x - 10 ) (x - 2 )

d)

(x - 10 ) (x + 2 )

7.

( a - 4) + ( a - 4 ) 2x = ?

a)

(a - 4 ) 2x

b)

(a - 4) (2x - 4)

c)

( a - 4 )( 1 - 2 x )

d)

( a - 4 ) ( 1 + 2x )

8.

6x ( y - 2 ) + ( y - 2 )

a)

(6x - 1) ( y - 2 )

b)

(6x + 1 ) (y - 2 )

c)

(y - 2) (6x)

d)

(y - 2 ) ( 6x - 1)

9.

ab2 - cb2 - 6a + 6c = ?

a)

(b2 - 6) (a + c )

b)

( b2 + 6) ( a - c)

c)

(a - c ) (b - 6)

d)

(a - c) (b2 - 6 )

10.

axy + bcxy - az - bcz = ?

a)

(a + bc) (xy - z)

b)

(a - bc) (xy - z)

c)

(a - bc) (xy + z)

d)

(a + bc) (xy + z)