EDGE Math 8

Choose the correct factored form of each polynomial.

1.	$x^{2} - 6 x + 9 - 81 y^{2}$

(x - 3 - 9 y) (x - 3 + 9 y)

(x + 3 + 9 y) (x - 3 - 9 y)

(x + 3 - 9 y) (x - 3 + 9 y)

none of the choices

Answer: $(x - 3 - 9 y) (x - 3 + 9 y)$

2.	$16 p^{3} + 54 y^{6}$

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

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

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

none of the choices

Answer: $2 (2 p + 3 y^{2}) (4 p^{2} - 6 p y^{2} + 9 y^{4})$

3.	$x^{4} + 13 x^{2} + 36$

(x^{2} + 9) (x^{2} + 4)

(x^{2} + 12) (x^{2} + 3)

{(x^{2} + 6)}^{2}

none of the choices

Answer: $(x^{2} + 9) (x^{2} + 4)$

4.	$a x^{2} + b x^{2} - a y^{2} - b y^{2}$

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

(a - b) (x - y) (x + y)

(a + b) (x - y) (x + y)

none of the choicess

Answer: $(a + b) (x - y) (x + y)$

5.	$p x + 3 p + 2 q x + 6 q$

(x + 3) (p + 2 q)

(x + 2 q) (p + 3)

(x + p) (2 q + 3)

none of the choices

Answer: $(x + 3) (p + 2 q)$

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