When examining the graph of a cubic polynomial function, how can you determine if all of the zeros are real?

Solution:

Consider, the Cubic polynomial :

f(x)=  

Draw , the graph of cubic polynomial on two dimensional coordinate plane, and find number of times it cuts the x axis.The point where it cuts the x axis,are the roots of the cubic polynomial function or  number of real roots that a cubic polynomial function possess is number of times it cuts the x axis.

Keep in mind, Imaginary root occur in pairs.

So, a cubic polynomial function has all real root , a single real root or no real root.

So, if graph cuts the x axis at three points (Either same or different) , showing the number of real roots possessed by the cubic polynomial function.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

answer: it's d

step-by-step explanation: