Question

50 points

Multiply the polynomials. (x + 3)(3x^2 + 8x + 9)

A. 3x^3 + 17x^2 + 33x - 27
B. 3x^3 + 17x^2 + 33x + 27
C. 3x^3 + 17x^2 - 15x + 27
D. 3x^3 + x^2 + 33x + 27

Answer 1

Your answer is B. 3x^3 + 17x^2 + 33x + 27

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Steps:

Distribute Parentheses.

Simplify.

Group like terms.

Add similar elements twice.

Done!

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Hope this helped!

(I have attached *some* work just in case anyone needs it.)

Answer 2

B) 3x³ + 17x² + 33x + 27.

Explanation:

Given : (x + 3)(3x² + 8x + 9).

To find : Multiply the polynomials.

Solution : We have given that :

(x + 3)(3x² + 8x + 9).

Distribute x over (3x² + 8x + 9) and 3 over (3x² + 8x + 9).

x (3x² + 8x + 9) + 3 (3x² + 8x + 9).

3x³ + 8x² + 9x + 9x² + 24x + 27.

Combine like terms

3x³ + 8x² + 9x² + 9x + 24x + 27.

3x³ + 17x² + 33x + 27.

Therefore, B) 3x³ + 17x² + 33x + 27.