Multiply the polynomial expression (x+2)(x−4) .(2 points) x2+ x+
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To multiply the polynomial expression (x+2)(x-4), we can use the distributive property.
First, let's multiply the x term in the first parentheses by both terms in the second parentheses:
x * x = x^2
x * -4 = -4x
Next, let's multiply the 2 term in the first parentheses by both terms in the second parentheses:
2 * x = 2x
2 * -4 = -8
Now, let's combine the like terms:
(x^2 - 4x) + (2x - 8)
To simplify further, we can combine the like terms:
x^2 - 4x + 2x - 8
Finally, combining like terms gives us the simplified result:
x^2 - 2x - 8
Therefore, the product of the polynomial expression (x+2)(x-4) is x^2 - 2x - 8.
To multiply the given polynomial expression (x+2)(x-4), you can use the distributive property of multiplication over addition. This property states that when we have two terms being multiplied by a common factor, we can distribute the multiplication to both terms.
Step 1: Multiply the first terms of each binomial.
(x+2) * (x) = x^2
Step 2: Multiply the outer terms of each binomial.
(x+2) * (-4) = -4x
Step 3: Multiply the inner terms of each binomial.
(2) * (x) = 2x
Step 4: Multiply the last terms of each binomial.
(2) * (-4) = -8
Step 5: Now, combine the like terms from the resulting expression obtained in steps 2, 3, and 4.
-4x + 2x = -2x
So, the final expression after multiplying (x+2)(x-4) is:
x^2 - 2x - 8.