AnswersAlgebra IISynthetic Division and the Remainder Theorem

Pretest Answers

10 verified answers1 views
1
Free Preview

The area of a rectangle is 5 x cubed plus 19 x squared plus 6 x minus 18 with length x plus 3 Using synthetic division, what is the width of the rectangle?

A
5 x squared plus 34 x plus 108 plus the fraction with numerator 306 and denominator x plus 3
B
5 x cubed plus 4 x squared minus 6 x
C
5 x squared plus 4 x minus 6
D
5 x squared plus 34 x plus 108 plus the fraction with numerator 306 and denominator x minus 3
2
Free Preview

Use synthetic division to solve open paren x cubed plus 1 close paren divided by open paren x minus 1 close paren What is the quotient?

A
x cubed minus x squared plus x
B
x squared minus x plus 1
C
x squared plus x plus 1 plus the fraction with numerator 2 and denominator x plus 1
D
x squared plus x plus 1 plus the fraction with numerator 2 and denominator x minus 1
4

What dividend is represented by the synthetic division? Expand Image

A
2 x cubed plus 10 x squared plus x plus 5
B
2 x cubed plus x
C
negative 10 x squared minus 5
D
2 x squared plus 1
5

Use synthetic division to solve open paren 4 x cubed minus 3 x squared plus 5 x plus 6 close paren divided by open paren x plus 6 close paren What is the quotient?

A
4 x squared plus 21 x plus 131 plus the fraction with numerator 792 and denominator x plus 6
B
4 x squared minus 27 x plus 167 minus the fraction with numerator 996 and denominator x minus 6
C
4 x squared minus 27 x plus 167 minus the fraction with numerator 996 and denominator x plus 6
D
4 x squared plus 21 x plus 131 plus the fraction with numerator 792 and denominator x minus 6
7

If open paren x plus 8 close paren is a factor of f of x , which of the following must be true?

A
f of negative 8 is equal to 0
B
f of 8 is equal to 0
C
Both x is equal to negative 8 and x is equal to 8 are roots of f of x .
D
Neither x is equal to negative 8 nor x is equal to 8 is a root of f of x .
8

Use synthetic division to solve open paren 3 x to the 4th power plus 6 x cubed plus 2 x squared plus 9 x plus 10 close paren divided by open paren x plus 2 close paren What is the quotient?

A
3 x cubed plus 12 x squared plus 26 x plus 61 plus the fraction with numerator 132 and denominator x minus 2
B
3 x cubed plus 2 x plus 5
C
3 x to the 4th power plus 2 x squared plus 5 x
D
3 x cubed plus 12 x squared plus 26 x plus 61 plus the fraction with numerator 132 and denominator x plus 2
9

Use synthetic division to solve open paren 2 x cubed plus 4 x squared minus 35 x plus 15 close paren divided by open paren x minus 3 close paren What is the quotient?

A
2 x squared plus 10 x minus 5
B
2 x squared minus 2 x minus 29 plus the fraction with numerator 102 and denominator x plus 3
C
2 x cubed plus 10 x squared minus 5 x
D
2 x squared minus 2 x minus 29 plus the fraction with numerator 102 and denominator x minus 3
10

The volume of a rectangular prism is 2 x cubed plus 9 x squared minus 8 x minus 36 with height x plus 2 Using synthetic division, what is the area of the base?

A
2 x squared plus 13 x plus 18
B
2 x cubed plus 13 x squared plus 18 x
C
2 x cubed plus 5 x squared minus 18 x
D
2 x squared plus 5 x minus 18

Did you find these answers helpful?