Math III (3Q): Bench Mark Practice II

Which of the following is the CORRECT factor of the polynomial x³ - x² - 10x - 8?

• x - 2

• x + 1

• x + 4

• x - 3

Which functions has the same y- intercept of the given graph?

• y = x² - 2x - 6

• y = (1/2)(x - 12)

• y = 3x³ - 2x² - 6

• y = 6(1/2)^x

A population of bacteria can be represented by the expression 200(1.025)^4t , where "t" represents the time. Which of the following represents an equivalent expression?

• 200(1.253)^t

• 200(1.012)^t

• 200(1.104)^t

• 200(1.001)^t

Which of the following functions has an inverse that is also a function?

• y = I x + 4 I

• y = x² + 8x + 16

• y = (x - 2)²

• y = 2 / (x + 3)

A bacteria is growing at a constant rate every hour. The table below shows the number of bacteria every hour. What is the estimate number of bacteria after 6 hours?

• 523

• 1944

• 648

• 5832

Which are the two ZEROS of the polynomial equation x³ – 13x – 12?

• -3 and -4

• -3 and -5

• -3 and -1

• -3 and 1

An adult takes a dosage (D) of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 25%. Which equation can be used to find the amount of Ibuprofen left in the system after "t" hours?

• D(t) = D_o (5/4)^t

• D(t) = D_o (1/4)^t

• D(t) = D_o (7/4)^t

• D(t) = D_o (3/4)^t

Suppose a culture of bacteria begins with 5000 cells and dies by 10% each hour, has an expression of 5000 (0.90)^t which represents the amount of substance present after "t" days. If the expression 5000(0.90)^24t represents the amount of substance present after "t" days, which of the following statement is TRUE?

• The expression 5000(0.90)^24t is approximately equivalent to 5000(0.08)^t, which shows that a daily decay rate of 92%.

• The expression 5000(0.90)^24t is approximately equivalent to 5000(0.08)^t, which shows that a daily decay rate of 8%.

• The expression 5000(0.90)^24t is approximately equivalent to 5000(0.08)^t, which shows that a daily decay rate of 20%.

• The expression 5000(0.90)^24t is approximately equivalent to 5000(0.08)^t, which shows that a daily decay rate of 18%.

Which of the given polynomial equations have roots of 1 and -4, and a root of 2 with multiplicity 3?

• y = (x - 1)(x + 4)(x + 2)³

• y = (x - 1)(x + 4)(x - 2)³

• y = (x - 1)(x - 4)(x - 2)³

• y = (x + 1)(x - 4)(x + 2)³

A polynomial with a REAL Coefficient has a degree of 7. Which of the following statement could be TRUE?

• The polynomial can have exactly 7 imaginary roots.

• The polynomial can have exactly 2 real roots and 5 imaginary roots.

• The polynomial can have exactly 7 real roots.

• The polynomial can have exactly 4 real roots and 3 imaginary roots.