Comprehensive Factoring Quiz

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A Comprehensive Factoring Practice Quiz.

This is a comprehensive factoring practice page. Each of the problems below are randomly generated and randomly drawn from all the different types of factoring we have learned in the polynomial chapter. Each time you hit the “Another” button in the top right corner, the type of technique necessary and the values of each of the problems will change randomly.

I highly encourage you to keep redoing this page by hitting that “Another” button in the top right until you are able to answer each of the problems relatively easily and can quickly recognize which technique to use on any given problem.

Note: There is currently a known bug that Xronos may not correctly mark a factorization if it has a negative sign on the outside of the parentheses. To avoid this, simply multiply the negative value into one of your parentheses.

1 : Factor the following polynomial completely.

$\sage {p1disp} = \answer [validator=factorCheck]{\sage {p1ans}}$

2 : Factor the following polynomial completely.

$\sage {p2disp} = \answer [validator=factorCheck]{\sage {p2ans}}$

3 : Factor the following polynomial completely.

$\sage {p3disp} = \answer [validator=factorCheck]{\sage {p3ans}}$

4 : Factor the following polynomial completely.

$\sage {p4disp} = \answer [validator=factorCheck]{\sage {p4ans}}$

5 : Factor the following polynomial completely.

$\sage {p5disp} = \answer [validator=factorCheck]{\sage {p5ans}}$

6 : Factor the following polynomial completely.

$\sage {p6disp} = \answer [validator=factorCheck]{\sage {p6ans}}$

7 : Factor the following polynomial completely.

$\sage {p7disp} = \answer [validator=factorCheck]{\sage {p7ans}}$

8 : Factor the following polynomial completely.

$\sage {p8disp} = \answer [validator=factorCheck]{\sage {p8ans}}$

9 : Factor the following polynomial completely.

$\sage {p9disp} = \answer [validator=factorCheck]{\sage {p9ans}}$

10 : Factor the following polynomial completely.

$\sage {p10disp} = \answer [validator=factorCheck]{\sage {p10ans}}$

11 : Factor the following polynomial completely.

$\sage {p11disp} = \answer [validator=factorCheck]{\sage {p11ans}}$

12 : Factor the following polynomial completely.

$\sage {p12disp} = \answer [validator=factorCheck]{\sage {p12ans}}$

13 : Factor the following polynomial completely.

$\sage {p13disp} = \answer [validator=factorCheck]{\sage {p13ans}}$

14 : Factor the following polynomial completely.

$\sage {p14disp} = \answer [validator=factorCheck]{\sage {p14ans}}$

15 : Factor the following polynomial completely.

$\sage {p15disp} = \answer [validator=factorCheck]{\sage {p15ans}}$

Press...	...to do
left/right arrows	Move cursor
shift+left/right arrows	Select region
ctrl+a	Select all
ctrl+x/c/v	Cut/copy/paste
ctrl+z/y	Undo/redo
ctrl+left/right	Add entry to list or column to matrix
shift+ctrl+left/right	Add copy of current entry/column to to list/matrix
ctrl+up/down	Add row to matrix
shift+ctrl+up/down	Add copy of current row to matrix
ctrl+backspace	Delete current entry in list or column in matrix
ctrl+shift+backspace	Delete current row in matrix

Type...	...to get
norm	$\|\|\blue{[?]}\|\|$
text	$\text{\blue{[?]}}$
sym_name	$\backslash\texttt{\blue{[?]}}$
abs	$\left\|\blue{[?]}\right\|$
sqrt	$\sqrt{\blue{[?]}}$
paren	$\left(\blue{[?]}\right)$
floor	$\lfloor \blue{[?]} \rfloor$
factorial	$\blue{[?]}!$
exp	${\blue{[?]}}^{\blue{[?]}}$
sub	${\blue{[?]}}_{\blue{[?]}}$
frac	$\dfrac{\blue{[?]}}{\blue{[?]}}$
int	$\displaystyle\int{\blue{[?]}}d\blue{[?]}$
defi	$\displaystyle\int_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}d\blue{[?]}$
deriv	$\displaystyle\frac{d}{d\blue{[?]}}\blue{[?]}$
sum	$\displaystyle\sum_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}$
prod	$\displaystyle\prod_{\blue{[?]}}^{\blue{[?]}}\blue{[?]}$
root	$\sqrt[\blue{[?]}]{\blue{[?]}}$
vec	$\left\langle \blue{[?]} \right\rangle$
mat	$\left(\begin{matrix} \blue{[?]} \end{matrix}\right)$
*	$\cdot$
infinity	$\infty$
arcsin	$\arcsin\left(\blue{[?]}\right)$
arccos	$\arccos\left(\blue{[?]}\right)$
arctan	$\arctan\left(\blue{[?]}\right)$
sin	$\sin\left(\blue{[?]}\right)$
cos	$\cos\left(\blue{[?]}\right)$
tan	$\tan\left(\blue{[?]}\right)$
sec	$\sec\left(\blue{[?]}\right)$
csc	$\csc\left(\blue{[?]}\right)$
cot	$\cot\left(\blue{[?]}\right)$
log	$\log\left(\blue{[?]}\right)$
ln	$\ln\left(\blue{[?]}\right)$
alpha	$\alpha$
beta	$\beta$
gamma	$\gamma$
delta	$\delta$
epsilon	$\epsilon$
zeta	$\zeta$
eta	$\eta$
theta	$\theta$
iota	$\iota$
kappa	$\kappa$
lambda	$\lambda$
mu	$\mu$
nu	$\nu$
xi	$\xi$
omicron	$\omicron$
pi	$\pi$
rho	$\rho$
sigma	$\sigma$
tau	$\tau$
upsilon	$\upsilon$
phi	$\phi$
chi	$\chi$
psi	$\psi$
omega	$\omega$
Gamma	$\Gamma$
Delta	$\Delta$
Theta	$\Theta$
Lambda	$\Lambda$
Xi	$\Xi$
Pi	$\Pi$
Sigma	$\Sigma$
Phi	$\Phi$
Psi	$\Psi$
Omega	$\Omega$

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