Question

What is the sum (6x^3 – 5x^2 + 3x – 5) + (8x^4 + 3x^3 + 5x^2 + x + 4)?

A.9x^6 + 8x^4 + 4x^2 – 1
B.8x^4 + 9x^3 + 4x – 1
C.8x^4 + 3x^3 – 10x^2 + 4x – 1
D.8x^4 – 3x^3 + 10x^2 – 2x + 9

Answer 1

`\left(6x^3-5x^2+3x-5\right)+\left(8x^4+3x^3+5x^2+x+4\right)`

Combine like terms

`=8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4`

Add: -5x²+5x²=0

`=8x^4+6x^3+3x^3+3x+x-5+4`

Now add 6x³+3x³=9x³

`=8x^4+9x^3+3x+x-5+4`

Add like terms 3x +x=4x

`=8x^4+9x^3+4x-5+4`

Now add -5+4=-1

`=8x^4+9x^3+4x-1`

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Answer 2

8x^4+9x^3+4x-1

Explanation:

(6x^3 – 5x^2 + 3x – 5) + (8x^4 + 3x^3 + 5x^2 + x + 4)

Group like terms

8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4

8x^4+9x^3+4x-1