Question

I think the answer is 7 which is defined by the highest power of x. But I am not sure. Please help me.?

How many real roots does the polynomial `x^7+5x+12=0`?
`a)0`
`b)1`
`c)3`
`d)7`

Answer 1

B. One root

Explanation:

graph{x^7+5x+12 [-10, 10, -5, 5]}
The graph shows the only root of the graph. A `x^7` polynomial can have up to 7 roots, but it needs `x^6`, `x^5`, etc. terms.
Try it out on Desmos