Respuesta :
Answer: On ed2020, the correct answers are A, C and D
Step-by-step explanation:
Answer:
Option A , C and D are correct
Step-by-step explanation:
If x = a is the root of the polynomial p(x)
then;
p(a) = 0
Given that:
The polynomial functions that have 2 as a root.
Option A:
[tex]h(m) =8-m^3[/tex]
if 2 is the root of the polynomial h(m) then;
[tex]h(2) =8-2^3=8-8=0[/tex]
⇒h(m) is the polynomial functions that have 2 as a root.
Option B.
[tex]f(g) =g^3-2g^2+g[/tex]
Put g = 2
then;
[tex]f(2) = 2^3-2(2)^2+2 = 8-8+2 = 2\neq 0[/tex]
⇒f(g) is the polynomial functions that does not have 2 as a root.
Option C:
[tex]f(a) =a^3-4a^2+a+6[/tex]
Put a = 2
then;
[tex]f(2) =2^3-4(2)^2+2+6=8-16+8 = 16-16 = 0[/tex]
⇒f(a) is the polynomial functions that have 2 as a root.
Option D:
[tex]f(x) =x^3-x^2-4[/tex]
Put x= 2
then;
[tex]f(2) =2^3-2^2-4=8-4-4 =8-8 = 0[/tex]
⇒f(x) is the polynomial functions that have 2 as a root.
