S5 Pol 1 Recognising Polynomials

Stage 5 Mathematics Recognising Polynomials

Success Criteria

Determine whether a function is a polynomial, giving reasons why.

Describe polynomials in terms of their degree, leading terms, leading coefficient and constant term.

Create a polynomial from given parameters.

 

Open Ended Task

Open Ended Task

Write down two different polynomials that are non-monic, have a degree between 3 and 5 (inclusive) and have a negative constant term.

Enabling Prompt

For LaTeX: P(x)=4x^5-3x^2+2x+1P(x)=4x5−3x2+2x+1, what are;

a. the leading term

b. the degree

c. the constant term

Extending Task

Write down three expressions that someone might think are polynomials, but do not satisfy the definition of a polynomial. Explain why these expressions can not be a polynomial.

Solution

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Consolidating Task

Write down two different polynomials that are non-monic, have a degree of 4 or 5 and have a negative constant term, but a negative leading term.

Consolidating Task Solution

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Check Your Understanding