zeros; -8, multiplicity; 1; -3, multiplicity; 2; degree 3

Question

type a polynomial with integer coefficients and a leading coefficient of 1 in the box below

Answer 1

Degree 3 means the highest power is 3. Also, the leading coefficient is 1, implying x^3 as the first term.

The multiplicity says how many factors there are involving the specified zero. So the factors are (x+8) and (x+3)^2.

The polynomial is (x+8)(x^2+6x+9)=x^3+6x^2+9x+8x^2+48x+72=x^3+14x^2+57x+72.