Question

which expression is (4x - 1)(3x - 7) written in standard form? 12x² - 31x + 7; 12x² - 25x + 7; 12x² + 31x + 7; 12x² - 31x - 8

Explanation:

Step1: Apply FOIL method

$(4x-1)(3x-7) = 4x\cdot3x + 4x\cdot(-7) + (-1)\cdot3x + (-1)\cdot(-7)$

Step2: Calculate each term

$= 12x^2 -28x -3x +7$

Step3: Combine like terms

$= 12x^2 + (-28x-3x) +7 = 12x^2 -31x +7$

Answer:

A. $12x^2 - 31x + 7$