1. **State the problem:** Simplify or analyze the expression $4 \cdot 3x^2 - 10x + 8$. 2. **Rewrite the expression:** The expression is $4 \times 3x^2 - 10x + 8$. 3. **Apply multiplication:** Multiply $4$ by $3x^2$: $$4 \times 3x^2 = 12x^2$$ 4. **Rewrite the full expression:** $$12x^2 - 10x + 8$$ 5. **Final expression:** The simplified expression is $12x^2 - 10x + 8$. This is a quadratic expression in standard form.