Quadratic Functions: Working With Equations Worksheet
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1
2Math 2 (L1-7)
A.SSE.2, A.SSE.3a, A.REI.4
th
Assessment Title: 4
Degree Quadratic Form
Unit 3: Quadratic Functions: Working with Equations
Learning Targets:
Factor a power function that models a quadratic function given in standard form
Solve a power function equation that models a quadratic equation
We have been factoring quadratic expressions. Now, let’s extend our factoring skills to factor higher degree polynomials
that model quadratic form.
Quadratic Expression
2
Factor x
- 8x + 16
(x - 4)(x - 4)
Factor into two binomials.
th
4
Degree Polynomial in Quadratic Form
4
2
th
Factor x
- 8x
+ 16
Notice the 4
degree expression models a similar for as the quadratic
above.
2
2
2
4
2
2
(x
)
- 8x
+ 16
Recall that x
= (x
)
, and rewrite in quadratic form.
2
2
Sometimes, we define x
by another variable, like u, and let u = x
. u is
2
2
substituted in for x
in this step. u
– 8u + 16.
2
2
(x
- 4)(x
- 4)
Factor into two binomials.
When using u substitution method, the expression would factor into (u –
4)(u – 4)
2
2
2
At this point, substitute x
back in for u: (x
- 4)(x
- 4)
(x – 2)(x + 2)(x – 2)(x + 2)
Factor completely.
Factor using quadratic form.
4
2
4
1.
x
– 2x
+ 1
2.
x
– 16
4
2
4
2
3.
x
+ 6x
+ 5
4.
x
- 7x
+ 12
4
2
4
5.
2x
+ 7x
+ 5
6.
x
– 81
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