Question

Find the product. Write your answer in standard form.



(m2−5m+4)(m2+7m−3)

Answer 1

To find the product of these two polynomials, we can use the distributive property and multiply each term in the first polynomial by each term in the second polynomial. Then we can combine like terms and simplify the result.

(m^2 − 5m + 4)(m^2 + 7m − 3)

= m^4 + 7m^3 − 3m^2 − 5m^3 − 35m^2 + 15m + 4m^2 + 28m − 12

= m^4 + 2m^3 − 34m^2 + 43m − 12

Therefore, the product of the two polynomials is m^4 + 2m^3 − 34m^2 + 43m − 12, written in standard form