Question

Multiply. Give your answer in standard form. solve it 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 6n^3 + 7n^2 + 6n - 4 in standard form.

To solve this, you can use the distributive property to multiply each term in the first expression (3n^2 + 2n + 4) by each term in the second expression (2n - 1). Then combine like terms to simplify.

(3n^2 + 2n + 4)(2n - 1)
= 3n^2 * 2n + 2n * 2n + 4 * 2n - 3n^2 * 1 - 2n * 1 - 4 * 1
= 6n^3 + 4n^2 + 8n - 3n^2 - 2n - 4
= 6n^3 + 7n^2 + 6n - 4

Therefore, the answer is 6n^3 + 7n^2 + 6n - 4 in standard form.