NY Regents Algebra II polynomials and rationals quiz quiz

$2$

$4$

$6$

$10$

$P(x)$ has no real zeros

$x - 3$ is a factor of $P(x)$

$x + 3$ is a factor of $P(x)$

the remainder when dividing by $x - 3$ is 0

has a vertical asymptote

is undefined

touches and turns around

crosses the x-axis

both ends down

both ends up

down-left and up-right

up-left and down-right

$\frac{x + 5}{x - 5}$

$\frac{x - 5}{x + 5}$

$\frac{x - 5}{x - 5}$

$x - 5$

because rational equations have no real solutions

to confirm the arithmetic

because clearing denominators can introduce extraneous solutions

to find additional solutions

$x^{3/4}$

$x^{-3/4}$

$x^{12}$

$x^{4/3}$

$x^{4/3}$

$x^{2/3}$

$x^{4/6}$

$x^{4/9}$

$x = -2$

$x = 3$

both are valid

neither is a solution

$-5$

$25i$

$5$

$5i$

$5 + i$

$6 - i^2$

$7 + i$

$7 - i$

one repeated real number

two complex conjugates

two distinct real numbers

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