HI!! I need help understanding. I have went to tutoring, but I'm still not understanding this. PLEASE BE INFORMATIVE THIS IS NOT EVEN HALF OF MY QUESTIONS!
Classify each expression as a polynomial or not. If the expression is a polynomial, name it according to its degree and its number of terms.
Write the Polynomial in standard form, then identify its leading coefficient and constants term.
State the Maxium possible number of "turns" in the graph of each polynomial.
Complete the statements by fillinf in the blanks for each polynomial
Right End Behavior: As x --> ∞, f(x) --> _____.
Left End Behavior: As x --> ∞, f(x) --> ______.
1) Is NOT a polynomial because one of the variable terms is a square root; for it to be a polynomial, the exponent of each variable must be a positive whole number (possibly zero).
2) Is a polynomial; a quintic because the highest power of a variable is 5.
3) Is a polynomial; a quadratic because the highest power of a variable is 2. (The constants may be square roots, the variables can't.)
1) x4y + x2y2 + 7
The leading coefficient is 1 ( the coefficient of the x4y term)
The constant term is 7.
1) The maximum number of turns is 4, one fewer than the largest exponent.
1) Right-end behavior: approaches infinity.
Left-end behavior: approaches negative infinity.