what is the product? (2x - 1)(x + 4)\n2x² - 4\n2x² + 4\n2x² + 7x - 4\n2x² - 7x - 4

Explanation:

Step1: Use FOIL method

$(2x - 1)(x + 4)=2x\times x+2x\times4+(-1)\times x+(-1)\times4$

Step2: Simplify each term

$2x\times x = 2x^{2}$, $2x\times4=8x$, $(-1)\times x=-x$, $(-1)\times4 = - 4$

Step3: Combine like - terms

$2x^{2}+8x - x-4=2x^{2}+(8x - x)-4=2x^{2}+7x - 4$

Answer:

$2x^{2}+7x - 4$ (corresponding to the third option)