Form a polynomial whose zeros and degree are given Zeros 3 2
Form a polynomial whose zeros and degree are given.
Zeros: -3, -2, 3; degree 3
Solution
Zeros: -3, -2, 3; degree 3
polynomial is of form
(x-(-3))(x-(-2))(x-3)=0
(x+3)(x+2)(x-3)=0
(x+2)(x2-9)=0
x2(x+2) -9(x+2)=0
x3+2x2-9x-18=0 is the required polynomial
