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Use synthetic division to solve open paren x cubed minus x squared minus 17 x minus 15 close paren divided by open paren x minus 5 close paren What is the quotient?

A
x cubed plus 4 x squared plus 3 x
B
x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x plus 5
C
x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x minus 5
D
x squared plus 4 x plus 3
3

If a polynomial function f of x has roots 3 plus square root of 5 and negative 6 , what must be a factor of f of x ?

A
open paren x minus open paren 3 minus square root of 5 close paren close paren
B
open paren x minus open paren 5 minus square root of 3 close paren close paren
C
open paren x plus open paren 5 plus square root of 3 close paren close paren
D
open paren x plus open paren 3 minus square root of 5 close paren close paren
5

Which of the following is true regarding the solution to the logarithmic equation? log sub 2 of open paren x plus 11 close paren is equal to 4 x plus 11 is equal to 2 to the 4th power x plus 11 is equal to 16 x is equal to 5

A
x is equal to 5 is a true solution because log sub 4 of 16 is equal to 2
B
x is equal to 5 is not a true solution because log sub 5 of 16 is not equal to 2
C
x is equal to 5 is not a true solution because log sub 5 of 16 is not equal to 4
D
x is equal to 5 is a true solution because log sub 2 of 16 is equal to 4
6

Which expression is equivalent to 2 x squared minus 2 x plus 7 ?

A
open paren 5 x squared minus 8 x plus 120 close paren plus open paren negative 3 x squared plus 10 x minus 13 close paren
B
open paren x squared minus 5 x plus 13 close paren plus open paren x squared plus 3 x minus 6 close paren
C
open paren 4 x plus 12 close paren plus open paren 2 x squared minus 6 x plus 5 close paren
D
open paren 4 x squared minus 6 x plus 11 close paren plus open paren 2 x squared minus 4 x plus 4 close paren
7

The quotient of open paren x to the 4th power minus 3 x squared plus 4 x minus 3 close paren and open paren x squared plus x minus 3 close paren is a polynomial. What is the quotient?

A
x squared minus x plus 1
B
x to the 4th power minus 2 x squared plus 5 x minus 6
C
x to the 4th power minus 4 x squared plus 3 x
D
x to the 6th power plus x to the 5th power minus 6 x to the 4th power plus x cubed plus 10 x squared minus 15 x plus 9
8

Which of the following is a binomial experiment?

A
Rolling a six-sided number cube 24 times and recording the number that comes up
B
Rolling a six-sided number cube and recording the number until a 4 comes up
C
Rolling a six-sided number cube 24 times and recording if a 4 comes up
D
Rolling a six-sided number cube and recording the number until an even number comes up
9

Which of the following describes the zeroes of the graph of f of x is equal to negative x to the 5th power plus 9 x to the 4th power minus 18 x cubed ?

A
0 with multiplicity 3 , 3 with multiplicity 1 , and 6 with multiplicity 1
B
0 with multiplicity 3 , negative 3 with multiplicity 2 , and negative 2 with multiplicity 1
C
0 with multiplicity 3 , 3 with multiplicity 2 , and 2 with multiplicity 1
D
0 with multiplicity 3 , negative 3 with multiplicity 1 , and negative 6 with multiplicity 1
10

The polynomial function f of x is a fourth degree polynomial. Which of the following could be the complete list of the roots of f of x ?

A
3 , 4 , 5 , 6 i
B
3 , 4 , 5 , 6
C
3 , 4 , 4 plus i square root of 6 , 5 plus i square root of 6
D
3 , 4 , 5 plus i , negative 5 plus i
14

Which expression is equivalent to negative 6 times x cubed times x times y squared times y to the 6th power ?

A
negative 6 x cubed y to the 8th power
B
negative 6 x to the 4th power y to the 8th power
C
negative 6 x squared y to the 12th power
D
negative 6 x to the 4th power y to the 12th power
15

According to the Rational Root Theorem, negative 2 fifths is a potential rational root of which function?

A
f of x is equal to 25 x to the 4th power minus 7 x squared plus x plus 4
B
f of x is equal to 10 x to the 4th power minus 7 x squared plus x plus 9
C
f of x is equal to 4 x to the 4th power minus 7 x squared plus x plus 25
D
f of x is equal to 9 x to the 4th power minus 7 x squared plus x plus 10
16

Which of the following is the inverse of y is equal to 12 to the x th power ?

A
y is equal to the log base x of 12
B
y is equal to the log base 1 over 12 of x
C
y is equal to the log base 12 of x
D
y is equal to log sub 12 1 over x
17

If f of x is equal to x squared minus 1 and g of x is equal to 2 x minus 3 , what is the domain of open paren f circ g close paren times x ?

A
left bracket negative 5 comma infinity right parenthesis
B
left bracket negative 1 comma infinity right parenthesis
C
open paren negative infinity comma infinity close paren
D
open paren infinity comma negative infinity close paren
18

What is the product? open paren negative 2 x minus 9 y squared close paren times open paren negative 4 x minus 3 close paren

A
14 x squared plus 36 x y squared plus 27 y squared
B
negative 8 x squared minus 6 x minus 36 x y squared minus 27 y squared
C
negative 14 x squared minus 36 x y squared plus 27 y squared
D
8 x squared plus 6 x plus 36 x y squared plus 27 y squared
19

One root of f of x is equal to x cubed plus 10 x squared minus 25 x minus 250 is x is equal to negative 10 What are all the roots of the function? Use the Remainder Theorem.

A
x is equal to negative 25 or x is equal to 10
B
x is equal to negative 25 , x is equal to 1 , or x is equal to 10
C
x is equal to negative 10 , x is equal to negative 5 , or x is equal to 5
D
x is equal to negative 10 or x is equal to 5

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