Verified Answer :

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: \(a (b + c) = ab + ac.\)

So:

\(2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x\)

Thus, the product of \(2x (x - 4)\) is: \(2x ^ 2-8x\)

Answer:

The product of \(2x (x - 4)\) is: \(2x ^ 2-8x\)

Answer:

The product of \(2x(x- 4)=2x^2-8x\)

Step-by-step explanation:

Given : Expression \(2x(x-4)\)

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive property \(a(b+c)=ab+ac\)

Where a= 2x, b=x, c=-4

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

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

Therefore, The product of \(2x(x-4)=2x^2-8x\)