Question

To multiply a monomial by a polynomial, use the distributive Property. Using this property, the product of (2k2 – 7k + 3) and 4k is .

Answer 1

Basically to write the question in equation form would be 

4k(2k^2 - 7k + 3)

You must multiply 4k with each number in the parentheses.

4k x 2k^2 = 8k^3

4k x -7k = -28k^2

4k x 3 = 12k

The answer is  8k^3 - 28k^2 + 12k

Don't forget, when multiplying exponents, you're adding them, which is why 4k x 2k^2 = 8k^3. I'm adding k^1 and k^2 which is k^3