High School

Multiply the following polynomials:

\[3x^3(5x^2+4x)\]

Choose the correct answer:

A. \(8x^6 + 7x^3\)

B. \(15x^6 + 12x^4\)

C. \(15x^6 + 12x^3\)

D. \(15x^5 + 12x^4\)

E. \(8x^5 + 7x^4\)

F. \(15x^5 + 12x^3\)

Answer :

Answer:

[tex]15x^5+12x^4[/tex]

Step-by-step explanation:

[tex]Given,\\\\=3x^3(5x^2+4x)\\\\=3x^3\times5x^2+3x^3\times4x\\\\=15(x^3\times x^2)+12(x^3\times x) \ \ \ \ \ \ \ \ \ \ \ (x^m\times x^n=x^{m+n})\\\\=15x^5+12x^4[/tex]

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