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18 September, 08:16

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-1

B. 5x^5-8x^3+x^2+5x-1

C. 5x^5-8x^3+x^2+5x+1

D. 5x^5+4x^4+10x^3+x^2-9x-1

E. 5x^5-4x^4-8x^3+x^2+5x+1

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Answers (1)
  1. 18 September, 09:37
    0
    The correct answer is option B.

    5x⁵ + - 8x³ + x² + 5x - 1

    Step-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 - 1

    The correct answer is option B.

    5x⁵ + - 8x³ + x² + 5x - 1
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