Simplify the polynomial

2x^2 + 6x - 7x + 8 - 3x^2 + 1
A)2x^2 + x + 9
B)-2x^2 - x - 9
C)-x^2 - x + 9
D)x^2 + 9

Please help me

Thank you so much

You're welcome.

To simplify the given polynomial, we need to combine like terms. Like terms are terms that have the same variable raised to the same exponent.

Step 1: Write down the polynomial: 2x^2 + 6x - 7x + 8 - 3x^2 + 1

Step 2: Combine the like terms with the same exponent of x. In this case, we have x^2 terms and x terms.

For the x^2 terms, we have 2x^2 - 3x^2 = -x^2

For the x terms, we have 6x - 7x = -x

Step 3: Combine the constants: 8 + 1 = 9

Step 4: Now we can write the simplified polynomial by combining all the like terms:

- x^2 - x + 9

Therefore, the correct answer is option C) -x^2 - x + 9.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

Combine like terms:

2x^2 - 3x^2 = -x^2
6x - 7x = -x
8 + 1 = 9

2 x² + 6 x - 7 x + 8 - 3 x² + 1 =

2 x² - 3 x² + 6 x - 7 x + 8 + 1 =

- x² - x + 9