Homework SourseForm a polynomial whose real zeros and degree are given Zero
Form a polynomial whose real zeros and degree are given. Zeros: 1, 0, 4; degree: 3
Type a polynomial with integer coefficients and a leading coefficient of 1.
Solution
solution-
general polynomial can be written as-
(x-a)(x-b)(x-c)=0
where a,b,c are its roots
a=-1,b=0,c=4
putting
(x+1)(x-0)(x-4)=0
x(x2-3x-4)=0
x3-3x2-4x=0
