Every question here has a leading coefficient of 1 once any common factor is taken out, the two-variable ones included. Pick the types you want, choose how many questions, and print. Every sheet is generated fresh, so you can print a different one for each class period, and the answer key is built from the factors so it is always right.
Select your difficulty
Pick more than one for a sheet that mixes them.
The preview can look cramped on a phone. The PDF and printed sheet come out normal.
The sign slip is the common one. When the constant is positive but the middle term is negative, as in x² − 11x + 30, both numbers have to be negative: −5 and −6, not 5 and 6. The other one is skipping the common factor. 3x² − 3x − 90 is not prime, it is 3(x − 6)(x + 5), and a student who dives straight at the trinomial will not find it.
Also called factoring trinomials or factoring simple quadratics.
What you can put on this worksheet
Both factors positive
r2+10r+25→ (r+5)2
Both factors negative
r2−10r+25→ (r−5)2
One of each sign
x2+x−30→ (x−5)(x+6)
Mix in some that do not factor
v2+3v+6→ Not factorable
In two variables
x2+5xy+4y2→ (x+4y)(x+y)
Every b that makes it factor
Find every integer b for which x2+bx−10 can be factored.→ −9,−3,3,9
Factor out the GCF; what is left will not factor
4v2+28v+8→ 4(v2+7v+2)
Questions about these worksheets
Yes. Every factoring trinomials (a = 1) sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the factoring trinomials (a = 1) questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 7: both factors positive, both factors negative, one of each sign, mix in some that do not factor, in two variables, every b that makes it factor and factor out the gcf; what is left will not factor. Tick as many as you want and set how many of each, or let it spread them evenly.
The sign slip is the common one. When the constant is positive but the middle term is negative, as in x² − 11x + 30, both numbers have to be negative: −5 and −6, not 5 and 6. The other one is skipping the common factor. 3x² − 3x − 90 is not prime, it is 3(x − 6)(x + 5), and a student who dives straight at the trinomial will not find it.