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The function below has at least one rational zero. Use this fact to find ALL zeros of the function.

g(x)=5x^3+x^2-20^x-4

If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.


Sagot :

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5