🧮 Non-Monic Quadratic Factorization

Learn to factor quadratics where a ≠ 1 using the "split the middle term" method

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2x² + 7x + 3
1
Calculate a × c

First, multiply the coefficient of x² by the constant term:

a × c = 2 × 3 = 6

2
Find two numbers that multiply to 6 and add to 7

Available factor pairs of 6:

1
6
2
3
-1
-6
-2
-3

Drag the correct pair that adds to 7:

?
and
?
3
Rewrite the middle term

Split 7x using your chosen factors:

2x² + ?x + ?x + 3
4
Factor by grouping

Group the terms and factor out common factors:

Group 1:
2x² + ?x
=
?
(
?
)
Group 2:
?x + 3
=
?
(
?
)

Final factorization (notice the common factor in brackets):

(
?
)(
?
)

Available factors and terms:

x
1
2
3
2x
x + 1
2x + 3
x + 3
2x + 1