Question

Multiply the following polynomials. Answer must be in standard form.
(4m+n) (m-2n)
KIRI

Answer 1

To multiply the polynomials (4m+n) and (m-2n), we use the distributive property and then combine like terms. The resulting polynomial is 4m^2-7mn-2n^2.

Step-by-step explanation:

To multiply the polynomials (4m+n) and (m-2n), we use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.

So, multiplying (4m+n) by m, we get 4m^2+mn. Multiplying (4m+n) by -2n, we get -8mn-2n^2.

Finally, adding these results together, we have the polynomial 4m^2+mn-8mn-2n^2, which can be simplified to 4m^2-7mn-2n^2.

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