Question

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

Answer 1

u would use the distributive property which states a(b + c) = ab + ac, or in this case a(b + c + d) = ab + ac + ad

4k (2k^2 - 7k + 3) = 8k^3 - 28k^2 + 12k

Answer 2

Answer: To multiply a monomial by a polynomial, use the distributive property .

The product of
`(2k^2-7k + 3) \ and \ 4k` is
`8k^3-28k^2+12k`

Explanation:

The given polynomial and a monomial are
`(2k^2-7k + 3) \ and \ 4k`.

To find the product of the given expressions we use distributive property which says that
`(b+c)a=ba+ca`

Now,

`(2k^2-7k+3)4k=2k^2\cdot 4k-7k\cdot4k+3\cdot4k\\\\=8k^(2+1)-28k^(1+1)+12k...........[\text{by law of exponent}a^m*a^n=a^(m+n)]\\=8k^3-28k^2+12k`