Division of Polynomials — Unit test Answers

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What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve.

A
x = 1 and x =
Option A
B
x = ±1 and
Option B
C
x = ±i and
Option C
D
x = ±i and
Option D
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The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
Option A
B
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Option B
C
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
Option C
D
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Option D
23

One factor of is (x – 2). What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = 1, x = 2, or x = 4
B
x = –2, x = 1, or x = 2
C
x = 2, x = 4, or x = 16
D
x = –16, x = 2, or x = 16
24

Isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table. QuotientDivisor3x2– 5x– 2x3x3–5x2–2x+ 26x2ABWhat are the missing values in the table?

A
A = –10x; B = –4
B
A = –10x; B = 0
C
A = –3x; B = –4
D
A = –3x; B = 0
25

What is the quotient of (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

A
x2 + 4x + 9
B
x2 + 2x
C
x2 + 2x + 3
D
x2 + 3x + 8

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