Math 3 released questions Quiz

What is the remainder when (x^3 - 1) is divided by (x + 2)?

Tags

CCSS.HSA.APR.B.2

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

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

• -2 and 2

• -1 and 4

• -1 ± √5

• 1 + 2√3

Martha 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?

Tags

CCSS.HSA.CED.A.1

Which choice is equivalent to the expression shown below? 48x^3 - 243xy^2

• 3(4x^2 - 9y)(4x^2 - 9y)

• 3(4x^2 - 9y)(4x^2 + 9y)

• 3x(4x - 9y)(4x - 9y)

• 3x(4x - 9y)(4x + 9y)

Tags

CCSS.HSA.APR.C.4

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros. The zeros are given as: x = -1 with multiplicity two, x = 2 with multiplicity one, and x = 4 with multiplicity one. What choice shows p(x)?

• p(x) = x^3 - 5x^2 + 2x + 8

• p(x) = x^3 + 5x^2 + 2x - 8

• p(x) = x^4 - 4x^3 - 3x^2 + 10x + 8

• p(x) = x^4 + 4x^3 - 3x^2 - 10x + 8

Tags

CCSS.HSA.APR.B.3

If ( f(x) = k(x - 2)^4 ), where k is positive, what is the effect on the graph of ( f(x) ) as k increases?

• A) The graph of ( f(x) ) is shifted up.

• B) The graph of ( f(x) ) is shifted down.

• C) The graph of ( f(x) ) is stretched vertically.

• D) The graph of ( f(x) ) is stretched horizontally.

Tags

CCSS.HSF.BF.B.3

A function is shown below: h(x) = {(-1/2)x - 15 for x ≤ -4 20 - 3x^2 for x > -4} What is the value of h(-4) + 3h(-2)?

Tags

CCSS.HSF.IF.A.2

A function is shown: H(x) = 4x^3 - 5x^2 - 23x + 6. What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Tags

CCSS.HSF-IF.C.7C

Which function does not have the set of all real numbers as its domain?

• f(x) = 5x - 3

• f(x) = (x + 1) / (x + 3)

• f(x) = 2x - 1

• f(x) = cos(x) + 1