Multiply the polynomial expression%C2%A0 (x+2)(x−4) .(2 points)
Remember to multiply each term in the first binomial by each term in the second binomial. Remember that there will be two like terms with the variable x that must be combined. Remember that a positive number times a negative number is a negative number.
To multiply the expression (x+2)(x-4), we can use the distributive property.
(x+2)(x-4) = x(x-4) + 2(x-4)
Multiplying each term of the first binomial (x+2) by each term of the second binomial (x-4), we get:
x(x) + x(-4) + 2(x) + 2(-4)
Simplifying each term, we get:
x^2 - 4x + 2x - 8
Combining like terms, we get:
x^2 - 2x - 8
Thus, the product of the polynomial expression (x+2)(x-4) is x^2 - 2x - 8.
To multiply the polynomial expression (x+2)(x-4), follow these steps:
Step 1: Multiply the first term in the first binomial (x) by each term in the second binomial (x and -4):
(x)(x) = x^2
(x)(-4) = -4x
Step 2: Multiply the second term in the first binomial (2) by each term in the second binomial (x and -4):
(2)(x) = 2x
(2)(-4) = -8
Step 3: Combine the like terms from step 1 and step 2:
x^2 - 4x + 2x - 8
Step 4: Simplify the expression by combining like terms:
x^2 - 2x - 8
So, the product of (x+2)(x-4) is x^2 - 2x - 8.
To multiply the polynomial expression (x+2)(x-4), we will use the distributive property. This means that we will multiply each term in the first binomial (x+2) by each term in the second binomial (x-4).
Step 1: Multiply the first term of the first binomial (x) by each term in the second binomial (x-4).
(x)(x) = x^2 (x)(-4) = -4x
Step 2: Multiply the second term of the first binomial (2) by each term in the second binomial.
(2)(x) = 2x (2)(-4) = -8
Step 3: Combine the like terms. In this case, the two terms with x need to be added together.
-4x + 2x = -2x
Putting it all together, the result of multiplying the polynomial expression (x+2)(x-4) is:
x^2 - 4x + 2x - 8
Simplifying further, we can combine the like terms:
x^2 - 2x - 8