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Factoring ax2 + bx + c
Lesson 10.5A
Algebra 2
Factoring a Quadratic Trinomial
Factor a Quadratic Expression
To write a quadratic expression as the
product of two linear expressions.
Using the Discriminant
A quadratic trinomial can be factored only if the
discriminant is a perfect square.
 b  b 2  4ac
x
2a
b2 – 4ac is the discriminant
Using the Discriminant
Determine whether the trinomial can be factored.
x2 + 3x - 4
x2 + 3x - 6
Product-Sum Method
To solve any quadratic equation of the form
ax2 + bx + c = 0
we can use the Product-Sum Method.
Product-Sum Method
Factor x2 - 3x - 10
Product-Sum Method
Factor x2 + 3x - 4
End of Lesson
Factoring ax2 + bx + c
Lesson 10.5B
Algebra 2
Product-Sum Method
Solve the equation x2 + 8x + 15 = 0
Product-Sum Method
Solve the equation x2 + 4x = 12
End of Lesson