Factoring Trinomials (a = 1) Practice
Find the two numbers, handle the signs, pull the GCF first, and solve by zero product. Fresh trinomials every round.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss earns another hint; a third miss walks you through the full solution.
2 What you’ll practice
Every problem is generated fresh from templates across several question types — a problem never repeats until its whole pool is used up.
Two numbers
Product c, sum b — find m and n.
Factor x²+bx+c
Write (x + m)(x + n).
Sign patterns
Name the signs before factoring.
GCF first
Pull the GCF, then factor.
Prime or not?
Decide if it factors over integers.
Zero product
Solve (x+m)(x+n) = 0.
3 Watch out for these
The three mistakes students make most often on these problems.
(x+3)(x+4) gives +7x, not −7x. Both clues must hold.
2x²+10x+12 needs the 2 pulled first — the method assumes a = 1.
For c < 0 the two numbers have opposite signs. Do not list only positive pairs.