Factors I - Normal

Question 1: Factorise using prime factors:

15 = ...

A

3 \times 4

B

3 \times 5

C

1 \times 3 \times 3

D

1 \times 3 \times 5

Question 2: Factorise using prime factors:

40 = ...

A

2 \times 2 \times 2 \times 5

B

2 \times 2 \times 5

C

1 \times 2 \times 2 \times 2 \times 5

D

1 \times 2 \times 5

Question 3: Factorise:

9 x^{2} - 16 = ...

A

(3 x - 1) (3 x + 4)

B

(x - 4) (x + 4)

C

(3 x - 4) (3 x + 4)

D

(3 x - 1) (3 x + 1)

Question 4: Factorise:

6 x^{2} + 2 x^{3} = ...

A

2 x (3 x + x^{2})

B

x^{2} (6 + 2 x)

C

x^{2} (3 + x)

D

2 x^{2} (3 + x)

Question 5: Factorise:

x^{2} - 5 x = ...

A

{(x - 5)}^{2}

B

x

C

x (x - 5)

D

(x - 1) (x - 5)

Question 6: Factorise:

4 x^{2} - 12 x + 9 = ...

A

{(2 x - 5)}^{2}

B

{(x - 3)}^{2}

C

(2 x - 3) (x - 3)

D

{(2 x - 3)}^{2}

Question 7: Factorise:

x^{10} - y^{10} = ...

A

{(x^{5} - y^{5})}^{2}

B

(x^{5} - y^{5}) (x^{5} + y^{5})

C

(x^{5} - y^{5}) x^{5}

D

(x^{2} - y^{2}) (x^{2} + y^{2})

Question 8: Factorise:

5 x^{2} - 20 = ...

A

5 (x - 2) (x + 2)

B

(x - 2) (x + 2)

C

5 (x^{2} - 4)

D

5 {(x - 2)}^{2}

Question 9: Factorise:

27 x^{3} - 8 y^{3} = ...

A

(3 x + 2 y) (9 x^{2} - 6 x y + 4 y^{2})

B

(3 x - 2 y) (9 x^{2} + 6 x y + 4 y^{2})

C

(3 x - 2 y) (9 x^{2} - 6 x y + 4 y^{2})

D

(3 x - 2 y) {(3 x + 2 y)}^{2}

Question 10: Factorise:

16 x^{2} + 8 x y + y^{2} = ...

A

(4 x + y) (x + y)

B

{(4 x - y)}^{2}

C

{(4 x + y)}^{2}

D

(4 x + y) (4 x - y)

Test: Factors I - Normal

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