How do I find the degree of a function? And tell if the leading coefficient is negative or positive.
Okay it's very easy, here is an example for the sake of helping you =)\[10x^2 + 15x^3 - 13^2 +1x^3y\] No here our degree of the function is what, any guesses?
*now
15?
10 I mean right?
10 is the coefficient of the leading term
No, our degree is 3
so the degree would be 3.
Our function here is a third degree polynomial, and our leading coefficient is 10
Yes the degree is 3. That is because it is the greatest power to which any of our terms is multiplied by, do you understand?
Aren't you suppose to right the exponets in either desending or ascending form? Yes I understand.
Yes, you could do that, that would be called puting these in standard form, and they would be from greatest power to least power, i believe =)
So would 15 be the coeficent of the leading term?
Yes that is the largest coefficient, so that makes it the leading coefficient =)
Leading coefficient: The leading coefficient is the coefficient of the independent variable to highest power.
Degree: The degree of a polynomial function is equal to the highest exponent found on the independent variables.
Thank you much country girl.
No prob, just went over this in my Algebra class, so it helps me solidify it in my head, by helping you =) Let me know if you need more help =)
Join our real-time social learning platform and learn together with your friends!