Quadratic in Form Polynomials Answers

0 verified answers
1
Free Preview

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

A
x = StartFraction negative 3 plus-or-minus 3 i StartRoot 3 EndRoot Over 2 EndFraction
Option A
B
x = StartFraction 7 plus-or-minus 3 i StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
x = 2
D
x = 8
2
Free Preview

Which equation is quadratic in form?

A
4(x – 2)2 + 3x – 2 + 1 = 0
B
8x5 + 4x3 + 1 = 0
C
10x8 + 7x4 + 1 = 0
D
9x16 + 6x4 + 1 = 0
3

Which quadratic equation is equivalent to (x2 – 1)2 – 11(x2 – 1) + 24 = 0?

A
u2 – 11u + 24 = 0 where u = (x2 – 1)
B
(u2)2 – 11(u2) + 24 where u = (x2 – 1)
C
u2 + 1 – 11u + 24 = 0 where u = (x2 – 1)
D
(u2 – 1)2 – 11(u2 – 1) + 24 where u = (x2 – 1)
4

Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?

A
(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4)
B
u2 – (u – 4) – 6 = 0 where u = (x – 4)
C
u2 – 16 – u – 6 = 0 where u = (x – 4)
D
u2 – u – 6 = 0 where u = (x – 4)
5

What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

A
u = (x3)
B
u = (x3 + 1)
C
u = (x3 + 1)2
D
u = (x3 + 1)3
6

What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve.

A
x = –11 and x = –18
B
x = –2 and x = 5
C
x = 2 and x = –5
D
x = 11 and x = 18
7

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±i
Option C
D
and x = ±1
Option D
8

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation?

A
u = (x + 5)
B
u = (x – 5)
C
u = (x + 5)2
D
u = (x – 5)2
9

What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation?

A
u = x2
B
u = x3
C
u = x6
D
u = x12
10

What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D

Did you find these answers helpful?