Question

4 multiple choice 4 points the product of 2x - 3 and x + 4 can be expressed as 2x^2 - 12 2x^2 + 5x - 12 2x^2 + x - 12 3x + 1 5 multiple choice 4 points the expression (3x + 4)(2x - 6) is equivalent to 6x^2 - 10x - 24 2x^2 + 8x - 24 3x^2 - 12x - 24 6x^2 - 24

Explanation:

Step1: Expand \((2x - 3)(x + 4)\) using FOIL method

\((2x-3)(x + 4)=2x\times x+2x\times4-3\times x - 3\times4=2x^{2}+8x-3x - 12\)

Step2: Combine like - terms

\(2x^{2}+(8x-3x)-12=2x^{2}+5x - 12\)

Step1: Expand \((3x + 4)(2x - 6)\) using FOIL method

\((3x + 4)(2x-6)=3x\times2x+3x\times(-6)+4\times2x+4\times(-6)=6x^{2}-18x + 8x-24\)

Step2: Combine like - terms

\(6x^{2}+(-18x + 8x)-24=6x^{2}-10x - 24\)

Answer:

B. \(2x^{2}+5x - 12\)