Find each product. See Example 5. 4x² (3x³ + 2x² - 5x +1)

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Identify the expression to be multiplied: $4x^{2} \times (3x^{3} + 2x^{2} - 5x + 1)$.

Apply the distributive property by multiplying \$4x^{2}$ with each term inside the parentheses separately.

Multiply \$4x^{2}$ by the first term: \$3x^{3}$. This gives $4x^{2} \times 3x^{3} = 12x^{5}$.

Multiply \$4x^{2}$ by the second term: \$2x^{2}$. This gives $4x^{2} \times 2x^{2} = 8x^{4}$.

Continue by multiplying \$4x^{2}$ by the third term $-5x$ and the fourth term $1$, writing each product before combining all terms.

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