How do you write a polynomial with roots of –1, –2, and 3?
1 Answer
Mar 17, 2018
Explanation:
"Given a polynomial with roots, say"
x=a,x=b" and "x=c" then"
(x-a),(x-b)" and "(x-c)" are it's factors"
"and "f(x)=k(x-a)(x-b)(x-c)larrcolor(blue)"k is a multiplier"
"here "x=-1,x=-2" and "x=3
rArr(x+1),(x+2)" and "(x-3)" are the factors"
"let "k=1
rArrf(x)=(x+1)(x+2)(x-3)
color(white)(rArrf(x))=x^3-7x-6larrcolor(blue)"is a possible polynomial"
graph{x^3-7x-6 [-10, 10, -5, 5]}