Quadratic in Form Polynomials — Quiz Answers

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What substitution should be used to rewrite 4 x to the 4th power minus 21 x squared plus 20 is equal to 0 as a quadratic equation?

A
u is equal to 2 x squared
B
u is equal to x to the 4th power
C
u is equal to 4 x to the 4th power
D
u is equal to x squared
2
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What substitution should be used to rewrite 6 times open paren x plus 5 close paren squared plus 5 times open paren x plus 5 close paren minus 4 is equal to 0 as a quadratic equation?

A
u is equal to open paren x minus 5 close paren
B
u is equal to open paren x plus 5 close paren squared
C
u is equal to open paren x minus 5 close paren squared
D
u is equal to open paren x plus 5 close paren
3

Which equation is quadratic in form?

A
10 x to the 8th power plus 7 x to the 4th power plus 1 is equal to 0
B
8 x to the 5th power plus 4 x cubed plus 1 is equal to 0
C
4 times open paren x minus 2 close paren squared plus 3 x minus 2 plus 1 is equal to 0
D
9 x to the 16th power plus 6 x to the 4th power plus 1 is equal to 0
4

Which quadratic equation is equivalent to open paren x minus 4 close paren squared minus open paren x minus 4 close paren minus 6 is equal to 0 ?

A
u squared minus u minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
B
u squared minus open paren u minus 4 close paren minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
C
open paren u minus 4 close paren squared minus open paren u minus 4 close paren minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
D
u squared minus 16 minus u minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
5

What substitution should be used to rewrite 16 times open paren x cubed plus 1 close paren squared minus 22 times open paren x cubed plus 1 close paren minus 3 is equal to 0 as a quadratic equation?

A
u is equal to open paren x cubed plus 1 close paren
B
u is equal to open paren x cubed close paren
C
u is equal to open paren x cubed plus 1 close paren squared
D
u is equal to open paren x cubed plus 1 close paren cubed
6

What substitution should be used to rewrite 4 x to the 12th power minus 5 x to the 6th power minus 14 is equal to 0 as a quadratic equation?

A
u is equal to x cubed
B
u is equal to x to the 12th power
C
u is equal to x squared
D
u is equal to x to the 6th power
7

Which quadratic equation is equivalent to open paren x plus 2 close paren squared plus 5 times open paren x plus 2 close paren minus 6 is equal to 0 ?

A
open paren u plus 2 close paren squared plus 5 times open paren u plus 2 close paren minus 6 is equal to 0 where u is equal to open paren x minus 2 close paren
B
u squared plus 4 plus 5 u minus 6 is equal to 0 where u is equal to open paren x minus 2 close paren
C
u squared plus u minus 6 is equal to 0 where u is equal to open paren x plus 2 close paren
D
u squared plus 5 u minus 6 is equal to 0 where u is equal to open paren x plus 2 close paren
8

Which equation is quadratic in form?

A
4 x to the 9th power plus 20 x cubed plus 25 is equal to 0
B
2 times open paren x plus 5 close paren squared plus 8 x plus 5 plus 6 is equal to 0
C
7 x to the 6th power plus 36 x cubed plus 5 is equal to 0
D
x to the 6th power plus 6 x to the 4th power plus 8 is equal to 0
9

What are the solutions of the equation x to the 4th power plus 95 x squared minus 500 is equal to 0 ? Use factoring to solve.

A
x is equal to plus or minus i square root of 5 and x is equal to plus or minus 10
B
x is equal to plus or minus square root of 5 and x is equal to plus or minus 10
C
x is equal to plus or minus square root of 5 and x is equal to plus or minus 10 i
D
x is equal to plus or minus i square root of 5 and x is equal to plus or minus 10 i
10

Which quadratic equation is equivalent to open paren x squared minus 1 close paren squared minus 11 times open paren x squared minus 1 close paren plus 24 is equal to 0 ?

A
open paren u squared close paren squared minus 11 times open paren u squared close paren plus 24 where u is equal to open paren x squared minus 1 close paren
B
open paren u squared minus 1 close paren squared minus 11 times open paren u squared minus 1 close paren plus 24 where u is equal to open paren x squared minus 1 close paren
C
u squared minus 11 u plus 24 is equal to 0 where u is equal to open paren x squared minus 1 close paren
D
u squared plus 1 minus 11 u plus 24 is equal to 0 where u is equal to open paren x squared minus 1 close paren

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