Expand the expression to a polynomial in standard form: \[ (x-4)\left(2 x^{2}+5 x-3\right) \]

Expand the expression \( (x-4)(2x^2+5x-3) \) Simplify the expression by following steps: - step0: Multiply the terms: \(\left(x-4\right)\left(2x^{2}+5x-3\right)\) - step1: Apply the distributive property: \(x\times 2x^{2}+x\times 5x-x\times 3-4\times 2x^{2}-4\times 5x-\left(-4\times 3\right)\) - step2: Multiply the terms: \(2x^{3}+5x^{2}-3x-8x^{2}-20x-\left(-12\right)\) - step3: Remove the parentheses: \(2x^{3}+5x^{2}-3x-8x^{2}-20x+12\) - step4: Subtract the terms: \(2x^{3}-3x^{2}-23x+12\) Expanding the expression \((x-4)(2x^2+5x-3)\) gives the polynomial in standard form as \(2x^3 - 3x^2 - 23x + 12\).