Use the FOIL method to multiply the following binomials: (x+2)(x−1)

Question

(1 point)

Answer 1

To use the FOIL method to multiply the binomials \((x + 2)(x - 1)\), we follow these steps:

1. First: Multiply the first terms of each binomial. \[ x \cdot x = x^2 \]

2. Outer: Multiply the outer terms of the binomials. \[ x \cdot (-1) = -x \]

3. Inner: Multiply the inner terms of the binomials. \[ 2 \cdot x = 2x \]

4. Last: Multiply the last terms of each binomial. \[ 2 \cdot (-1) = -2 \]

Now, combine all these results: \[ x^2 - x + 2x - 2 \]

Next, combine the like terms \(-x\) and \(2x\): \[ x^2 + x - 2 \]

So, the product of \((x + 2)(x - 1)\) is: \[ \boxed{x^2 + x - 2} \]