High School

Simplify the expression given below:

\[ 2x^3 + 3x^2 + 2x + 10 + 8x^3 + 6x^2 + 8x + 17 \]

Options:

A. \( 10x^3 + 3x^2 + 10x + 27 \)

B. \( -6x^3 + 9x^2 + 10x + 27 \)

C. \( -6x^3 + 3x^2 + 10x + 27 \)

D. \( 10x^3 + 3x^2 + 10x + 27 \)

Answer :

5x⁵ + 8x³ + 6x² + 10x + 27 is the simplest form of the given expression.

What is polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

Given Data

Expression -

2x³ 3x² + 2x + 10 + 8x³ + 6x² +8x+17

= 2x³(3x²) + 2x + 10 + 8x³ + 6x² + 8x +17

= 5x⁵ + 8x³ + 6x² + 8x + 2x + 10 + 17

= 5x⁵ + 8x³ + 6x² + 10x + 27

5x⁵ + 8x³ + 6x² + 10x + 27 is the simplest form of the given expression.

To learn more about polynomials, visit:

https://brainly.com/question/11536910

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