Write an equation that defines m(x) as a trinomial where m(x)=(3x-1)(3-x)+4x^2+18

m(x) = x² + 10x + 15

Step-by-step explanation:

Rewrite m(x) = (3x-1)(3-x) + 4x² + 18 as a trinomial (three-term equation) by simplifying the equation. Expand the brackets by multiplying the binomials and collect like terms.

m(x) = (3x-1)(3-x) + 4x² + 18    Multiply brackets with terms FOIL (first, outside, inside, last)

m(x) = (9x - 3x² - 3 + x) + 4x² + 18   The brackets can be removed

m(x) = 9x - 3x² - 3 + x + 4x² + 18   See what terms have the same variables

m(x) = -3x² + 4x² + 9x + x  + 18 - 3  Like terms are rearranged together

m(x) = x² + 10x + 15    Collected like terms

(-1,-0.5)

step-by-step explanation: