Question

Find the product of 2x^4(2x^2 + 3x + 4). (1) 2x^8 + 3x^4 + 4x^4 (2) 4x^6 + 6x^5 + 8x^4 (3) 4x^4 + 3x^5 + 2x^6 (4) 3x^6 + 4x^5 + 5x^4

Answer 1

(2) 4x^6 + 6x^5 + 8x^4

Step-by-step explanation

We have to find the product given:

`2x^4(2x^2\text{ + 3x + 4)}`

We will use the term outside the bracket to multiply each of the terms in the bracket.

That is:

`\begin{gathered} (2x^4\cdot2x^2)+(2x^4\cdot3x)+(2x^4\cdot4) \\ 4x^{4\text{ + 2}}+6x^{4\text{ + 1}}+8x^4 \\ 4x^6+6x^5+8x^4 \end{gathered}`

The answer is option 2.