Answer
$-2q^3+8q^2+11q$
Work Step by Step
We can multiply a monomial by a polynomial using the distributive property, which states that we multiply the term outside the parentheses by each term inside the parentheses and then combine like terms to simplify:
$$q(11+8q-2q^2)=(q)(11)+(q)(8q)+(q)(-2q^2)=11q+8q^2-2q^3$$To write in standard form, the term with the highest power must come first, and the powers of the terms must be in descending order. This gives us: $-2q^3+8q^2+11q$.
