The DiscriminantOne calculation that counts the solutions before you look for them.9th GradeThe discriminant b² − 4ac is the part under the root.Its sign tells you how many real solutions exist.Δ = b² − 4acΔ > 0two real solutionsThe parabola crosses the x-axis twice.Δ = 0one repeated solutionThe parabola just touches the axis.Δ < 0no real solutionsThe parabola never reaches the axis.Δ is a perfect squareit factors nicelyRational solutions, so factoring will work.A negative discriminant does not mean 'no answer' — it means thesolutions are complex.The Discriminantlearnposters.com
The Discriminant — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the The Discriminant poster

The rule, 4 worked examples.

A negative discriminant does not mean 'no answer' — it means the solutions are complex.

Questions about the The Discriminant poster

What’s on the The Discriminant poster?
The rule, 4 worked examples. The discriminant b² − 4ac is the part under the root. Its sign tells you how many rea…; Δ = b² − 4ac; Δ > 0 = two real solutions; Δ = 0 = one repeated solution; Δ < 0 = no real solutions; Δ is a perfect square = it factors nicely. A negative discriminant does not mean 'no answer' — it means the solutions are complex.
Who is the The Discriminant poster for?
The Discriminant 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 Discriminant poster?
Compute it first. It tells you whether factoring is even possible. A wall chart earns its place by being glanceable from where the work is happening, so The Discriminant belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with The Discriminant?
Absolute Value Equations, Arithmetic Sequences and Difference of Squares sit alongside The Discriminant 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 Discriminant poster free to download and print?
Yes. The Discriminant 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 Discriminant poster print at?
The Discriminant 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 Discriminant loses nothing.Printing guide

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