Which polynomial is equivalent to (x^3+2x^4+5x^5-2x-1)-(-7x-x^2+9x^3+2x^4)?A. 5x^5+10x^3+x^2-9x-1B. 5x^5-8x^3+x^2+5x-1C. 5x^5-8x^3+x^2+5x+1D. 5x^5+4x^4+10x^3+x^2-9x-1E. 5x^5-4x^4-8x^3+x^2+5x+1

Answer:The correct answer is option B. 5x⁵ + -8x³ + x² + 5x -1Step-by-step explanation:It is given that,(x³ + 2x⁴ + 5x⁵ - 2x - 1) - (-7x - x² + 9x³ + 2x⁴)To find the subtraction result(x³ + 2x⁴ + 5x⁵ - 2x - 1) - (-7x - x² + 9x³ + 2x⁴)  = x³ + 2x⁴ + 5x⁵ - 2x - 1 + 7x + x² - 9x³ - 2x⁴)  = 5x⁵ + 2x⁴ - 2x⁴ + x³ - 9x³  + x²- 2x + 7x -1  = 5x⁵ + -8x³ + x² + 5x -1The correct answer is option B. 5x⁵ + -8x³ + x² + 5x -1