Question

Multiply. Give your answer in standard form. may you please tell me the correct answer and tell me why

(3n2 + 2n + 4)(2n – 1)
(1 point)
Responses

6n3 + n2 + 6n – 4
6 n 3 + n 2 + 6 n – 4

6n3 + 7n2 + 6n – 4
6 n 3 + 7 n 2 + 6 n – 4

6n3 – n2 + 10n – 4
6 n 3 – n 2 + 10 n – 4

6n3 + n2 + 10n – 4

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is 6n3 + 7n2 + 6n - 4.

To find this answer, you need to distribute each term in the first polynomial (3n2 + 2n + 4) to each term in the second polynomial (2n - 1).

(3n2)(2n) + (3n2)(-1) + (2n)(2n) + (2n)(-1) + (4)(2n) + (4)(-1)
= 6n3 - 3n2 + 4n2 - 2n + 8n - 4
= 6n3 + n2 + 6n - 4

So, the answer is 6n3 + 7n2 + 6n - 4.