CPM Homework Help : INT2 Problem 4-28

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4-28.

Factor the following expressions, if possible.

$k^2-12k+20$
Hint (a):
Use an area model and a Diamond Problem.
$-2$
$-2k$
$20$
$k$
$k^2$
$-10k$
$k$
$-10$

$6x^2+17x−14$
Answer (b):
$(2x+7)(3x−2)$

$x^2-8x+16$

$9m^2-1$
Hint (d):
Insert a $0m$ between the $9m^2$ and the $−1$ .

The expressions in parts (a) through (c) are trinomials while part (d) is a binomial, yet they are all quadratic expressions. What makes each of them a quadratic? Justify your responses.
Hint (e):
What is the highest power of the variable in each of the problems?

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