Question

Question

Multiply (x−4)(x+2)
.(1 point)
Responses

x2−6x+8
x squared minus 6 x plus 8

x2−2x−8
x squared minus 2 x minus 8

x2+8
x squared plus 8

x2+6x+8
x squared plus 6 x plus 8
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Answer 1

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

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

Calculating each term:

1. \(x \cdot x = x^2\)
2. \(x \cdot 2 = 2x\)
3. \(-4 \cdot x = -4x\)
4. \(-4 \cdot 2 = -8\)

Now, combine these:

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

Thus, the answer is:

\(x^2 - 2x - 8\)

So the correct response is:

x^2−2x−8 (x squared minus 2 x minus 8)