Factoring Polynomials: Double Grouping — Quiz

Question 1

Factor x cubed plus x squared plus x plus 1 by grouping. What is the resulting expression?

Revolt · Accepted Answer

open paren x squared plus 1 close paren times open paren x plus 1 close paren

Question 2

Which polynomial is prime?

Revolt · Accepted Answer

3 x cubed minus 2 x squared plus 3 x minus 4

Question 3

Which shows one way to determine the factors of x cubed plus 11 x squared minus 3 x minus 33 by grouping?

Revolt · Accepted Answer

x squared times open paren x plus 11 close paren minus 3 times open paren x plus 11 close paren

Question 4

Which polynomial is prime?

Revolt · Accepted Answer

9 x cubed plus 11 x squared plus 3 x minus 33

Question 5

Which shows one way to determine the factors of x cubed minus 12 x squared minus 2 x plus 24 by grouping?

Revolt · Accepted Answer

x squared times open paren x minus 12 close paren minus 2 times open paren x minus 12 close paren

Question 6

Which shows one way to determine the factors of x cubed plus 5 x squared minus 6 x minus 30 by grouping?

Revolt · Accepted Answer

x squared times open paren x plus 5 close paren minus 6 times open paren x plus 5 close paren

Question 7

Which polynomial is prime?

Revolt · Accepted Answer

2 x to the 4th power plus x cubed minus x plus 2

Question 8

Which shows one way to determine the factors of x cubed minus 9 x squared plus 5 x minus 45 by grouping?

Revolt · Accepted Answer

x squared times open paren x minus 9 close paren minus 5 times open paren x minus 9 close paren

Question 9

Which shows one way to determine the factors of x cubed plus 4 x squared plus 5 x plus 20 by grouping?

Revolt · Accepted Answer

x squared times open paren x plus 4 close paren plus 5 times open paren x plus 4 close paren

Question 10

Which shows one way to determine the factors of 12 x cubed minus 2 x squared plus 18 x minus 3 by grouping?

Revolt · Accepted Answer

2 x squared open paren 6 x minus 1 close paren plus 3 times open paren 6 x minus 1 close paren

Factoring Polynomials: Double Grouping — Quiz Answers