question

2x^2+5x-18

answer

The volume of a rectangular prism is mc010-1.jpg with height x + 2. Using synthetic division, what is the area of the base?

question

5x^2+4x-6

answer

The area of a rectangle is mc011-1.jpg with length x + 3. Using synthetic division, what is the width of the rectangle?

question

x = -2, x = 1, or x = 2

answer

One factor of mc017-1.jpg is (x - 2). What are all the roots of the function? Use the Remainder Theorem.

question

+-1/9,+-2/9,+-1/3,+-4/9,+-2/3,+-1,+-4/3,+-2,+-4

answer

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 - 2x2 - 3x + 4?

question

-4 and 3

answer

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x - 24.
-4, -3, 2, 3, 4
Which are actual roots of f(x)?

question

The root at point P may be 3/5

answer

The polynomial function f(x) = 5x5 + 3x - 3 is graphed below.

question

-4/5 and 3/4

answer

Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?

question

-5, 3, -4 + i, -4 - i

answer

Which of the following is the complete list of roots for the polynomial function mc026-1.jpg?

question

5 - 6i

answer

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

question

f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i)

answer

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

question

f(x) = x4 - 3x2 - 4

answer

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2, and 2?

question

x = 2, x = 3, or x = 4

answer

One root of mc020-1.jpg is x = 2. What are all the roots of the function? Use the Remainder Theorem.

question

-2, -4, -3 + 2i, -3 - 2i

answer

Which of the following is the complete list of roots for the polynomial function mc025-1.jpg?

question

3

answer

log 5x = log(2x + 9)

question

1

answer

4ⁿ⁺² = 64

question

7

answer

ln(2x-3) = ln 11

question

32

answer

2log₄ x = 5

question

100

answer

3log x = 6

question

96

answer

log x - log 6 = 2 log 4

question

4

answer

log₂ x + log₂(x - 3) = 2

question

64

answer

log₄ x = 3

question

6

answer

3ⁿ⁻² = 81

question

-2

answer

-10 + log₃ (x + 3) = -10

question

x = 5; x = -1

answer

Solve by factoring.
x²-4x-5=0

question

x = -1; x = -2

answer

Solve by factoring.
x²+3x+2=0

question

x = -4; x = -(1/4)

answer

Solve by factoring.
4x²+17x+4=0

question

x = 3; x = 8

answer

Solve by factoring.
x²-11x+19=-5

question

x = -5; x = -2

answer

Solve by factoring.
x²+7x+10=0

question

x = 1

answer

Solve by factoring.
7x²-14x=-7

question

x = 0; x = -(2/3)

answer

Solve by factoring.
3x²+2x=0

question

x = -3; x = -5

answer

Solve by factoring.
x²+8x+15=0