EDGE Math 8

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1.	Which of the following is not a factor of $x^{4} - y^{4} ?$

x - y

x + y

x^{2} + y^{2}

x^{2} + x y + y^{2}

Answer: $x^{2} + x y + y^{2}$

2.	Which of the following are factors of $8 a^{3} - 1 ?$

(2 a - 1) (4 a^{2} - 2 a + 1)

(2 a - 1) (4 a^{2} + 2 a + 1)

(2 a - 1) (2 a^{2} - 2 a + 1)

(2 a - 1) (4 a^{2} - 2 a - 1)

Answer: $(2 a - 1) (4 a^{2} + 2 a + 1)$

3.	Which of the following is a factor of $15 x^{2} + 4 x - 4 ?$

- 3 x + 2

3 x - 2

5 x + 2

5 x - 2

Answer: $5 x - 2$

4.	Which of the following has $4 x + 3$ as a factor?

12 x - 6

16 x^{2} - 4

4 x^{2} - x - 3

4 x^{2} - 7 x - 3

Answer: $4 x^{2} - x - 3$

5.	Which of the following are factors of $x^{4} + x^{2} - 20 ?$

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

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

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

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

Answer: $(x + 2) (x - 2) (x^{2} + 5)$

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