Multiply each expression. − x ( 3 x 2 − 4 x + 2 ) -x(3x^2-4x+2)

Here, we're going to simplify this expression by multiplying this monomial by this polynomial. And to do that, we'll use our distributive property. So we want to take our outside term and multiply it into each of the terms in the sum. Doing that, we'll have negative x times three x squared. Next, we'll have negative x times negative four x. And lastly, we'll have negative x times two. Simplifying, we'll take our negative and multiply it by three to get negative three. And x times x squared makes x cubed. Next, we'll have our negative times negative four, which makes positive four. And x times x will make x squared. And lastly, we have our negative times two, which will make negative two, and x by itself makes x. So this expression simplifies to negative three x cubed plus four x squared minus two x.