What’s on the End Behaviour of Polynomials poster
The rule, 4 worked examples.
- The degree tells you whether the ends match; the leading coefficient tells you which…
- even degree → ends match · odd → ends differ
- Even degree, a > 0 = both ends up
- Even degree, a < 0 = both ends down
- Odd degree, a > 0 = down left, up right
- Odd degree, a < 0 = up left, down right
A degree-n polynomial has at most n roots and at most n − 1 turning points.
Questions about the End Behaviour of Polynomials poster
- What’s on the End Behaviour of Polynomials poster?
- The rule, 4 worked examples. The degree tells you whether the ends match; the leading coefficient tells you which…; even degree → ends match · odd → ends differ; Even degree, a > 0 = both ends up; Even degree, a < 0 = both ends down; Odd degree, a > 0 = down left, up right; Odd degree, a < 0 = up left, down right. A degree-n polynomial has at most n roots and at most n − 1 turning points.
- Who is the End Behaviour of Polynomials poster for?
- End Behaviour of Polynomials is filed under 10th Grade (ages 15–16), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
- When should you use the End Behaviour of Polynomials poster?
- Degree and leading coefficient. Nothing else in the polynomial matters for the ends. A wall chart earns its place by being glanceable from where the work is happening, so End Behaviour of Polynomials belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with End Behaviour of Polynomials?
- Sequences and Series, Completing the Square and Complex Numbers sit alongside End Behaviour of Polynomials in the 10th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Sequences and SeriesCompleting the SquareComplex Numbers
- Is the End Behaviour of Polynomials poster free to download and print?
- Yes. End Behaviour of Polynomials downloads as a free PDF with no account, no email and no watermark, like everything else in the 10th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the End Behaviour of Polynomials poster print at?
- End Behaviour of Polynomials is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of End Behaviour of Polynomials loses nothing.Printing guide
Related posters
Charts that sit alongside End Behaviour of Polynomials on the same wall.
Browse every 10th Grade poster, or start from the full catalogue.