In this post, we are identifying the degree, coefficients and solutions of polynomials, as a part of the VCE Maths Methods course under the topic Algebra and sub-part Polynomial Functions.
The degree of the polynomial is the highest power of the polynomial, for example in polynomial, P(x) = 2x^{3} + x^{2} + 4x + 8 , the degree of the polynomial P(x) is 3 . The coefficients are the numbers in front of the variables and the leading coefficient is the number in front of the highest power of the polynomial; in terms of polynomial P(x) , it is 2 .
Watch this video to find out more about the degree of polynomials.
This video explores how to find the leading coefficient.
How do I Equate Coefficients?
The following videos will explain how to equate coefficients and solutions to polynomials.
Part 1
Part 2
Imaginary Solutions to Polynomials?
Watch the following videos to find out about the real and imaginary solutions to polynomials.
Part 1
Part 2
Want to learn more? Check out more of our VCE Mathematics resources here!