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

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# 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.

### Imaginary Solutions to Polynomials?

Watch the following videos to find out about the real and imaginary solutions to polynomials.

##### Part 2

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