Question

Find the sum of 2x2 + 3x - 4, 8 - 3x, and -5x2 + 2.

A) -3 x2 - 2
B) -7 x2 - 6 x - 2
C) -3 x2 + 6
D) -7 x2 - 2

Answer 1

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

Answer is C) -3x^2 + 6

Answer 2

C) -3 x2 + 6

Explanation:

Given algebraic expressions are:

• 
  `\[2x^(2)+3x-4\]`
• 
  `\[8-3x\]`
• 
  `\[-5x^(2)+2\]`

Adding the given expressions:

`\[2x^(2)+3x-4 + 8-3x + (-5x^(2)+2)\]`

Simplifying:

`\[2x^(2)-5x^(2)+3x-3x-4 + 8 + 2\]`

`\[= (2-5)x^(2)+(3-3)x+(8 -4 + 2)\]`

`\[= -3x^(2)+6\]`

Among the given options, this is equivalent to option C.