VCE Together Year 12 Mathematical Methods: Coefficients and Solutions of Polynomials

Mathematical Methods

Back to other subjects

Coefficients and Solutions of Polynomials

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!

45,861 students have a head start...

Get exclusive VCE content & advice from our team of experts delivered weekly to your inbox!

Here’s how we help...

Holistic K-12 Tutoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

Comprehensive Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

AOS asset - Rocket

Study, Uni, Career Mentoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

Senior School Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!

AOS Website Asset 2

Looking for Academic Support?

Discover how we can help you!

AOS Website Asset 1