Multiply the polynomial expression (x+2)(x−4)

Question

(
𝑥
+
2
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(
𝑥
−
4
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.(2 points)
x2+
𝑥
2
+
x+
𝑥
+

Answer 1

To multiply the polynomial expression \((x + 2)(x - 4)\), we can use the distributive property (also known as the FOIL method for binomials):

\[ (x + 2)(x - 4) = x(x - 4) + 2(x - 4) \]

Now, let's distribute each term:

1. \(x(x - 4) = x^2 - 4x\)
2. \(2(x - 4) = 2x - 8\)

Now we add those results together:

\[ x^2 - 4x + 2x - 8 \]

Combining like terms:

\[ x^2 - 2x - 8 \]

So, the final result of multiplying \((x + 2)(x - 4)\) is:

\[ \boxed{x^2 - 2x - 8} \]