Question

give the required polynomial both in factored & expanded form.

3. find a third-degree polynomial where one factor is (x+5) and the other 2 factors are binomials.

Answer 1

\[(x + 5) (a x + b ) ( c x + d)\\
a c x^3+x^2 (5 a c+a d+b c)+x (5 a d+5
b c+b d)+5 b d
\]

Answer 2

Where a, b,c, d any real numbers different from zero