Respuesta :
All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
What is polynomial?
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The function given in the problem is,
[tex]f(x)=x^3+3x^2-x-3[/tex]
If f(1) = 0
[tex]f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0[/tex]
Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'
[tex]x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0[/tex]
Equate all the groups to zero to find the roots as,
[tex]x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1[/tex]
Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
Learn more about polynomial here;
https://brainly.com/question/24380382
Answer: B: x = –3, x = –1, or x = 1
Step-by-step explanation: EDG 2022
