Question

What is the result when (3x²−2x+5)−(x²−6x−2)() is multiplied by 1/2×2and written in standard form?

A) 2x²−8x+14
B) 2x²+4x−12
C) x²+4x+3
D) 2x²−5x+7

Answer 1

After subtracting the given polynomials and multiplying by the given factor, the result is 2x² + 4x + 7. This result is not among the given options, indicating a possible typo in the options provided.

Step-by-step explanation:

The question asks for the result of a polynomial subtraction followed by multiplication in standard form. To solve this problem, we begin by combining like terms and then multiply the result by the given factor. The steps are as follows:

First, subtract the polynomials: (3x² - 2x + 5) - (x² - 6x - 2). This yields 2x² + 4x + 7. Next, multiply this result by 1/2 × 2 = 1. Therefore, the final expression in standard form is 2x² + 4x + 7.

Matching this result with the given options reveals that Answer D) 2x² - 5x + 7 is incorrect, as the signs do not match. The correct answer is actually not listed among the options but is rather the calculation obtained: 2x² + 4x + 7.