Question

Consider the product P(x) = (3x2 - 6x + 2)(7x + 3).

What is the numerical coefficient of the x term in P(x)?
Enter only a number for your answer.

​

Answer 1

-4

Explanation:

Notice that the only way to multiply 2 numbers from each of the polynomials and get an x term is to multiply a constant and an x term.

The only ways to do that is to multiply -6x by 3 and 7x by 2.

After you're done multiplying, just combine the 2 like terms:

-18x+14x

=-4x

Therefore, the coefficient of the x term is -4.