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Romashka-Z-Leto [24]
3 years ago
9

Which polynomial is equivalent to (x^3+2x^4+5x^5-2x-1)-(-7x-x^2+9x^3+2x^4)?

Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

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)

<u>To find the subtraction result</u>

(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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