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

Answer:

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

Step-by-step 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

Answer 2

Answer:

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

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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