The Quadratic FormulaThe method that always works, and the sign errors that ruin it.9th GradeAny quadratic in the form ax² + bx + c = 0 can besolved by this formula, whether or not it factors.x = ( −b ± √(b² − 4ac) ) / 2ax² + 5x + 6 = 0x = −2 or −3a=1, b=5, c=6.2x² − 4x − 3 = 0x = (4 ± √40)/4Watch the negative c.b is negative−b becomes positiveIf b = −4, then −b = +4.Equation not equal to 0rearrange firstThe formula only works from ax² + bx + c = 0.THE COMMON MISTAKEforgetting the ± there are usually two solutionsA quadratic normally crosses the axis twice. One answer is half the work.Try factoring first — it is faster when it works. The formula is the reliablefallback.The Quadratic Formulalearnposters.com
The Quadratic Formula — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the The Quadratic Formula poster

The rule, 4 worked examples, and the mistake everyone makes.

Try factoring first — it is faster when it works. The formula is the reliable fallback.

Questions about the The Quadratic Formula poster

What’s on the The Quadratic Formula poster?
The rule, 4 worked examples, and the mistake everyone makes. Any quadratic in the form ax² + bx + c = 0 can be solved by this formula, whether or…; x = ( −b ± √(b² − 4ac) ) / 2a; x² + 5x + 6 = 0 = x = −2 or −3; 2x² − 4x − 3 = 0 = x = (4 ± √40)/4; b is negative = −b becomes positive; Equation not equal to 0 = rearrange first; Common mistake: forgetting the ± → there are usually two solutions. Try factoring first — it is faster when it works. The formula is the reliable fallback.
Who is the The Quadratic Formula poster for?
The Quadratic Formula is filed under 9th Grade (ages 14–15), 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 The Quadratic Formula poster?
Write a, b and c down with their signs before substituting anything. A wall chart earns its place by being glanceable from where the work is happening, so The Quadratic Formula belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with The Quadratic Formula?
Absolute Value Equations, Arithmetic Sequences and Difference of Squares sit alongside The Quadratic Formula in the 9th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Absolute Value EquationsArithmetic SequencesDifference of Squares
Is the The Quadratic Formula poster free to download and print?
Yes. The Quadratic Formula downloads as a free PDF with no account, no email and no watermark, like everything else in the 9th 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 The Quadratic Formula poster print at?
The Quadratic Formula 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 The Quadratic Formula loses nothing.Printing guide

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Browse every 9th Grade poster, or start from the full catalogue.