Question

Need these 2 answered. 25 points!

Please show work, Thanks! :)

Answer 1

• 2(x+3)(x+5)
• -4(x+2)(x-4)

Explanation:

1.

`2x^2+16x +30\\\\\mathrm{Factor\:out\:common\:term\:}2:\\\quad 2\left(x^2+8x+15\right)\\\\\mathrm{Factor}\:x^2+8x+15:\\\quad \left(x+3\right)\left(x+5\right)\\\\\\=2\left(x+3\right)\left(x+5\right)`

2.

`-4x^2+8x+32\\\\\mathrm{Factor\:out\:common\:term\:}-4:\\\quad -4\left(x^2-2x-8\right)\\\\\mathrm{Factor}\:x^2-2x-8:\\\quad \left(x+2\right)\left(x-4\right)\\\\=-4\left(x+2\right)\left(x-4\right)`

Answer 2

Hello!

1. -4x2 + 8x + 32
-4(x2 - 2x - 8)
-4(x2 + 2x - 4x - 8)
-4(x(x + 2) - 4(x + 2))
-4(x + 2)(x - 4)
Answer A.

2. 2x2 + 16x + 30
2(x2 + 8x + 15)
2(x2 + 5x + 3x + 15)
2(x(x + 5) + 3(x + 5))
2(x + 5)(x + 3)
Answer C.