Question

Subtract

5x2 - 5x + 3
- (2x2 +7x- 4)
O A 3X – 2x+7
O B. 3x + 12x=1
O C. 38 – 12x+7
O D. 3x2 + 2x-1

Answer 1

To subtract the polynomials, change signs of the terms being subtracted and combine like terms to get the final result, which is 3
`x^2` - 12x + 7, option C.

Step-by-step explanation:

To subtract the polynomial (2
`x^2` + 7x - 4) from (5
`x^2` - 5x + 3), we change the signs of each term within the parentheses that are being subtracted and then combine like terms. Here's the step-by-step process:

Start with the original expression:
(5
`x^2` - 5x + 3) - (2
`x^2` + 7x - 4).

Change the sign of each term within the second set of parentheses being subtracted:
(5
`x^2` - 5x + 3) - 2
`x^2` - 7x + 4.

Combine like terms:
5
`x^2` - 2
`x^2` gives 3
`x^2`,
-5x - 7x gives -12x,
3 + 4 gives 7.

Write the final result: 3
`x^2` - 12x + 7.

Thus, the correct answer is Option C: 3
`x^2` - 12x + 7.