Question

The expression (x^3 - 6x + 9) is subtracted from (2x^3 + 8x - 5). What is the result?

Option 1: x^3 - 2x + 14
Option 2: x^3 - 14x + 4
Option 3: x^3 + 2x - 14
Option 4: x^3 + 14x + 14

Answer 1

After performing standard polynomial subtraction term by term, the result of (2x^3 + 8x - 5) - (x^3 - 6x + 9) is x^3 + 14x - 14, which is Option 3.

Step-by-step explanation:

To find the result of the expression (2x^3 + 8x - 5) subtracted by (x^3 - 6x + 9), we need to perform polynomial subtraction. Let's subtract the second expression from the first term by term:

• Subtract the cubic terms: 2x^3 - x^3 = x^3.
• Subtract the x terms: 8x - (-6x) = 8x + 6x = 14x.
• Subtract the constant terms: -5 - 9 = -14.

So, the result of the subtraction is x^3 + 14x - 14, which corresponds to Option 3.