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What is the difference of the polynomials?
(5x3 + 4x2) – (6x2 – 2x – 9)

A. –x3 + 6x2 + 9
B. –x3 + 2x2 – 9
C. 5x3 – 2x2 – 2x – 9
D. 5x3 – 2x2 + 2x + 9

Respuesta :

meerkat18
(5x³ + 4x²) - (6x² - 2x - 9)

-1(6x²) -1(-2x) -1(-9) = -6x² + 2x + 9

5x³ + 4x² - 6x² + 2x + 9

5x³ - 2x² + 2x + 9  Choice D.


asuwafohjames

The difference between the polynomials (5x³-4x²)-(6x²-2x-9) is 5x³-2x²+2x+9 and the right option is D. 5x³-2x²+2x+9.

What is polynomial?

A polynomial is an expression of more than two algebraic terms

To calculate the difference between both polynomials we apply the techniques below.

Given:

  • (5x³-4x²)-(6x²-2x-9)

Substrat each like term accordingly.

  • (5x³-0)+(4x²-6x²)+(0-2x)+(0-9)
  • 5x³-2x²+2x+9

Hence, the difference between the polynomials (5x³-4x²)-(6x²-2x-9) is 5x³-2x²+2x+9 and the right option is D. 5x³-2x²+2x+9.

Learn more about Polynomials here: https://brainly.com/question/2833285

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