High School

Find the product of [tex]2x^4(2x^2 + 3x + 4)[/tex].

A. [tex]2x^8 + 3x^4 + 4x^4[/tex]
B. [tex]4x^6 + 6x^5 + 8x^4[/tex]
C. [tex]4x^4 + 3x^5 + 2x^6[/tex]
D. [tex]3x^6 + 4x^5 + 5x^4[/tex]

Answer :

Answer:

4x⁶ + 6x⁵ + 8x⁴

Step-by-step explanation:
2x⁴(2x² + 3x + 4)

Simplify.

4x⁶ + 6x⁵ + 8x⁴ ==> The second answer choice.

We know this because :

Multiply 2x⁴ with 2x²

2x⁴ × 2x² = 4x⁶

Then, do :

2x⁴ × 3x = 6x⁵

Then, finally, do :

2x⁴ × 4 = 8x⁴

So, our answer looks like this :

4x⁶ + 6x⁵ + 8x⁴

~Hope I helped!~

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