Problem

Multiply the following polynomials using FOIL: \((x+3)\) and \((x-2)\)

Answer

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Answer

Combine like terms: \(x^2 - 2x + 3x - 6 = x^2 + x - 6\)

Steps

Step 1 ：First, multiply the First terms: \(x * x = x^2\)

Step 2 ：Then, multiply the Outer terms: \(x * -2 = -2x\)

Step 3 ：Next, multiply the Inner terms: \(3 * x = 3x\)

Step 4 ：Finally, multiply the Last terms: \(3 * -2 = -6\)

Step 5 ：Combine like terms: \(x^2 - 2x + 3x - 6 = x^2 + x - 6\)

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