what is the product? 3x(2x^3-5x^2+3x+1)

$$3x(2x^3-5x^2+3x+1)$$

$$3x \times 2x^3 - 3x \times 5x^2 + 3x \times 3x + 3x \times 1$$

$$3 \times 2 \times x \times x^3 - 3 \times 5 \times x \times x^2 + 3 \times 3 \times x \times x + 3 \times 1 \times x$$

$$3 \times 2 \times x^1 \times x^3 - 3 \times 5 \times x^1 \times x^2 + 3 \times 3 \times x^1 \times x^1 + 3 \times 1 \times x^1$$

$$6 \times x^{3+1} - 15 \times x^{1+2} + 9 \times x^{1+1} + 3 \times x^1$$

$$6x^4-15x^3+9x^2+3x$$

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