How do you write a polynomial with zeros 2, 1, 4 and leading coefficient 1?
1 Answer
Sep 24, 2016
Explanation:
If the zeros of a polynomial are
x=a,x=b" and " x=c Then the factors of the polynomial are
(x-a),(x-b)" and " (x-c) and
y=(x-a)(x-b)(x-c)" is the polynomial" here the zeros are
x=2,x=1" and " x=4
rArr"factors are " (x-2),(x-1)" and " (x-4)
rArry=(x-2)(x-1)(x-4)
=(x^2-3x+2)(x-4)
=x^3-3x^2+2x-4x^2+12x-8
rArry=x^3-7x^2+14x-8" is the polynomial"