Question

(2xyz)(-4x^2yz) polynomials please help

Answer 1

Hi!

Tip #1: To multiply polynomials, consider the variables separate from the numbers.

So we are multiplying 2xyz * -4x²yz

Let's start by multiplying the variables.

xyz * x²yz

Tip #2: The exponents tell you how many of each variable there are. When multiplying variables, add the exponents. When a variable does not seem to have an exponent, that means there is an invisible exponent of 1! (x = $x^{1}$)

xyz * x²yz = (x + x²)(y + y)(z + z) = x³y²z²

Now multiply the numbers! (just like normal)

2 * -4 = -8

Now combine the numbers with the variables once again.

-8x³y²z²

The answer for 2xyz * -4x²yz is -8x³y²z²

Hope this helps! :)