For questions 2 and 3, simplify each polynomial.
2x2 + 8 – 4x + 3x – 6x2 + 7
A. –8x2 – 7x + 15
B. –4x2 – x + 15
C. 4x2 + x + 15 **
D. 8x2 + 7x + 15
2x2 + 8 – 4x + 3x – 6x2 + 7
A. –8x2 – 7x + 15
B. –4x2 – x + 15
C. 4x2 + x + 15 **
D. 8x2 + 7x + 15
The simplified polynomial is option B: -4x² - x + 15.
To simplify the given polynomial, we combine and rearrange like terms.
The polynomial is 2x² + 8 - 4x + 3x - 6x² + 7.
Step 1: Combine the like terms with the same degree of x.
We have 2x² - 6x² = -4x².
We also have -4x + 3x = -x.
The polynomial simplifies to -4x² - x + 8 + 7.
Step 2: Combine the constants.
8 + 7 = 15.
The simplified polynomial becomes -4x² - x + 15.
Therefore, the correct option is B. -4x² - x + 15.