Question

Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).

Answer 1

8x^3 + 2x - 5

Explanation:

`=3x^3-5x-8+5x^3+7x+3`

`\mathrm{Group\:like\:terms}`

`=3x^3+5x^3-5x+7x-8+3`

`\mathrm{Add\:similar\:elements:}\:3x^3+5x^3=8x^3 !!`

`=8x^3-5x+7x-8+3`

`\mathrm{Add\:similar\:elements:}\:-5x+7x=2x:`

`=8x^3+2x-8+3`

`\mathrm{Lastly add\:the\:numbers:}\:-8+3=-5`

`=8x^3+2x-5`

Answer 2

(3x^3 − 5x − 8) + (5x^3 + 7x + 3)
=3x^3 − 5x − 8 + 5x^3 + 7x + 3
=8x^3 + 2x - 5