CPM Homework Help : CCAA8 Problem 8-31

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Home > CCAA8 > Chapter 8 Unit 9 > Lesson CCA: 8.1.3 > Problem 8-31

8-31.

Factor the following quadratic expressions, if possible.

Hint:

Review online help for problem 8-17.

$k^2-12k+20$
Hint (a):
Use a generic rectangle and a diamond to solve.
Generic rectangle left edge top $-2$
interior top left $-2k$
interior top right $20$
left edge bottom $k$
interior bottom left $k^2$
interior bottom right $-10k$
bottom edge left $k$
bottom edge right $10$

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

$x^2−8x+16$

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

Parts (a) through (c) are trinomials while part (d) is a binomial, yet they are all quadratics. What makes each of them a quadratic?

Hint (e):
What the highest power of the variable in each of the problems?

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