High School

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

1. [tex]2x^8 + 3x^4 + 4x^4[/tex]
2. [tex]4x^6 + 6x^5 + 8x^4[/tex]
3. [tex]4x^4 + 3x^5 + 2x^6[/tex]
4. [tex]3x^6 + 4x^5 + 5x^4[/tex]

Answer :

4x⁶ + 6x⁵ + 8x⁴ is your answer thus b:

The product of 2x⁴(2x² + 3x + 4) is gotten as

4x^(6) + 6x^(5) + 8x⁴

We are given;

2x⁴(2x² + 3x + 4)

Now,to find the product means we are using distributive property of algebra which is;

a(b + c) = ab + ac

Thus, applying that property to our equation gives;

(2x⁴ × 2x²) + (2x⁴ × 3x) + (2x⁴ × 4)

>> 4x^(6) + 6x^(5) + 8x⁴

In conclusion, the product of 2x⁴(2x² + 3x + 4) gives 4x^(6) + 6x^(5) + 8x⁴

Read more about distributive properties here at; https://brainly.com/question/2807928

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