Quadratics & PolynomialsCompleting the square, vertex form, factoring patterns and end behaviour.10th GradeCOMPLETING THE SQUAREx² + 6x + 5 = 01. Move the constant: x² + 6x = −52. Add (b/2)² = 9 to both sides: x² + 6x + 9 = 43. Factor: (x + 3)² = 4 → x + 3 = ±2 → x = −1 or −5VERTEX FORMy = a(x − h)² + k → vertex (h, k)a > 0 opens up (minimum). a < 0 opens down (maximum).From standard form, the axis of symmetry is x = −b / 2a. Substitute to get k.FACTORING PATTERNSDifference of squaresa² − b² = (a + b)(a − b)x² − 16 = (x+4)(x−4)Perfect square trinomiala² ± 2ab + b² = (a ± b)²x² + 10x + 25 = (x+5)²Sum of cubesa³ + b³ = (a+b)(a² − ab + b²)x³ + 8Difference of cubesa³ − b³ = (a−b)(a² + ab + b²)x³ − 27Groupingax + ay + bx + by = (a+b)(x+y)four termsEnd behaviour: even degree → both ends together. Odd degree → ends opposite.Leading coefficient positive → right end rises.Quadratics & Polynomialslearnposters.com
Quadratics & Polynomials — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Questions about the Quadratics & Polynomials poster

Who is the Quadratics & Polynomials poster for?
Quadratics & 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 Quadratics & Polynomials poster?
The summary sheet for the algebra posters in this set. A wall chart earns its place by being glanceable from where the work is happening, so Quadratics & Polynomials belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Quadratics & Polynomials?
Sequences and Series, Circle Theorems and Completing the Square sit alongside Quadratics & 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 SeriesCircle TheoremsCompleting the Square
Is the Quadratics & Polynomials poster free to download and print?
Yes. Quadratics & 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 Quadratics & Polynomials poster print at?
Quadratics & 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 Quadratics & Polynomials loses nothing.Printing guide

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