SOLUTION: Find all the zeros of the function. (Enter your answers as a comma-separated list.) g(x) = x2 + 10x + 22 x = I found this to be -5+square root of 3, -5-square root of 3 Writ

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all the zeros of the function. (Enter your answers as a comma-separated list.) g(x) = x2 + 10x + 22 x = I found this to be -5+square root of 3, -5-square root of 3 Writ      Log On


   

Question 1183352: Find all the zeros of the function. (Enter your answers as a comma-separated list.)
g(x) = x2 + 10x + 22
x = I found this to be -5+square root of 3, -5-square root of 3
Write the polynomial as a product of linear factors. Use a graphing utility to verify your results graphically. (If possible, use the graphing utility to verify the imaginary zeros.)
g(x) =


Found 2 solutions by Solver92311, MathLover1:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!

If is a zero of a polynomial function, then is a factor of the polynomial.



John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29+=+x%5E2+%2B+10x+%2B+22
zeros are:
x%5B1%5D+=+-5+-+sqrt%283%29
x%5B2%5D+=+sqrt%283%29+-+5
the polynomial as a product of linear factors:
g%28x%29+=%28x-x%5B1%5D%29%28x-x%5B2%5D%29
g%28x%29+=%28x-%28-5+-+sqrt%283%29%29%29%28x-%28sqrt%283%29+-+5%29%29
g%28x%29+=%28x%2B5+%2Bsqrt%283%29%29%28x%2B+5-sqrt%283%29%29