Math 3 EOC Review

What is the remainder when x³-1 divided by (x+2)?

The function below, f(x), has (x-7) and (x+4i) as factors.
f(x)=2x⁵-13x⁴+22x³-187x²-160x+336
What is the total number of real zeros of f(x)?
Options: 2, 3, 4, 5

The graph of the function m(x)=x³+3x²-2x-4 has a zero at -1. What are the other zeros of the function?

Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

Which inequality can be used to find the range of acceptable weights, x, of the spaghetti? Options: |x-0.25|<32, |x+0.25|<32, |x-32|<0.25, |x+32|<0.25

The graph of an equation is shown. Options: y=|x|-2, y=|2x|-2, y=|x-2|, y=|2x-2|

Mrs. Slate can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

Two functions are shown below.
f(x)=2x³+2x-3
g(x)=-0.5|x-4| What is the y-value when f(x)=g(x)?

Which choice is equivalent to the expression shown below?
48x³-243xy²
Options: 3(4x²-9y)(4x²-9y), 3(4x²-9y)(4x²+9y), 3x(4x-9y)(4x-9y), 3x(4x-9y)(4x+9y)

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros. x=-1 is a zero of multiplicity of two, x=2 is a zero of multiplicity of one, x=4 is a zero of multiplicity of one. What choice shows p(x)?