Question

(2x^2+10x+8) divided(2x+2)

Answer 1

x + 4

Explanation:

`\mathrm{Factor}\:2x^2+10x+8:\quad 2\left(x^2+5x+4\right)\\=(2\left(x^2+5x+4\right))/(2x+2)\\\mathrm{Factor}\:2x+2:\quad 2\left(x+1\right)\\=(2\left(x^2+5x+4\right))/(2\left(x+1\right))\\=(x^2+5x+4)/(\left(x+1\right))\\\mathrm{Factor}\:x^2+5x+4:\quad \left(x+1\right)\left(x+4\right)\\\mathrm{Cancel\:the\:common\:factor:}\:x+1\\=x+4`

Hope this helps and have a great day!