EDGE Math 8

Choose the correct factored form of each polynomial.

1.	${(a + 2 b)}^{2} - 121$

(a - 2 b - 11) (a + 2 b + 11)

(a + 2 b - 11) (a + 2 b + 11)

(a + 2 b - 11) (a + 2 b - 11)

none of the choices

Answer: $(a + 2 b - 11) (a + 2 b + 11)$

2.	$4 x^{2} - 4$

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

4 (x - 1) (x + 1)

4 (x - 2) (x + 2)

none of the choices

Answer: $4 (x - 1) (x + 1)$

3.	$b^{3} + 125$

{(b + 5)}^{3}

(b + 5) (b^{2} - 5 b + 25)

(b + 5) (b^{2} + 5 b + 25)

none of the choices

Answer: $(b + 5) (b^{2} - 5 b + 25)$

4.	$2 x^{2} - 9 x - 5$

(2 x + 1) (x - 5)

(2 x - 5) (x + 1)

(2 x + 5) (x - 1)

none of the choices

Answer: $(2 x + 1) (x - 5)$

5.	$54 - 2 y^{3}$

2 (3 - y) (9 - 3 y + y^{2})

2 (3 - y) (9 - 3 y - y^{2})

2 (3 + y) (9 - 3 y + y^{2})

none of the choices

Answer: none of the choices; the answer is $2 (3 - y) (9 + 3 y + y^{2})$

/ 5