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How do I determine the coordinates of a polynomial function?
The function is P(x)=3x^4-33x^2+54
I have to "determine the coordinates of all intercepts of the x and y axes." Do I do this on the calculator or by hand? How do I find this out?
1 Answer
- 7 years ago
By hand.
To find the y-intercept, set x=0 in the equation.
To find the x-intercepts, factor the equation.
Hint: this equation has 4 x-intercepts, also known as roots
Hint: you can simplify the factoring by extracting 3 from every term
Hint: this is a partial factoring: y=3(x^2-9)(x^2-2).
If you can't see how I arrived at that, or finish the problem from there, then you might want to consider asking the teacher for extra help, or go back and read the chapters on factoring and do a bunch of problems, because otherwise you will be totally lost.
