Question

22. Distribute (c +4)(3c2-C-5).

Answer 1

We need to make the product of a binomial times a trinomial of the form:

$(c+4)\cdot(3c^2-c-5)$

So we use distributive roerty, making sure that we multiply each term of the first binomial times each term of the trinomial.

We start by multiplying c times each of the three terms in the trinomial expression, and after that we do the product of "4" times each of the three terms of the trinomial:

$\begin{gathered} c\cdot(3c^2)-c^2-5c+4\cdot(3c^2)-4c-20 \\ 3c^3-c^2-5c+12c^2-4c-20 \end{gathered}$

and to follow this, we combine the like terms that we have produced in the product. These are the terms in c-squared, and the terms in c:

$3c^3+11c^2-9c-20$