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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Synthetic division

Grade: 8-a Lesson: S1-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	Divide \$ x^4 - 3x^3 - 7x^2 + 21x + 14 \$ by \$x − 2\$ using synthetic division.	A) \$ (2x^3 - 9x + 3 - 20)/(x - 2) \$ B) \$( 2x^3 - 3x^2 - 9x + 3 + 2)/(x - 2) \$ C) \$ (x^3 - x^2 - 9x + 3 + 20)/(x - 2) \$ D) \$ (x^3 - x^2 - 9x + 3 + 20)/(x - 2) \$
2	Perform the synthetic division \$x^3 + 6x^2 + 11x + 6\$ by \$x + 2\$, and find the quotient.	A) 0 B) \$ x^2 - 2x + 3\$ C) \$ x - 4\$ D) \$ x^2 + 4x + 3\$
3	Perform the synthetic division \$ 2x^3 - 5x^2 + 3x - 7\$ by \$x - 2\$, and find the quotient and remainder.	A) Quotient = \$ 2x^2 - x + 7\$, Remainder = - 2 B) Quotient = \$ 2x^2 - x + 1\$, Remainder = - 5 C) Quotient = \$ 2x^2 - x + 5\$, Remainder = - 2 D) Quotient = \$ x^2 - 2x + 1\$, Remainder = - 7
4	Using synthetic division, determine the remainder when the polynomial \$ 2x^3 − 3x^2 - 8x + 5 \$ is divided by the binomial \$x − 3\$.	A) 8 B) 6 C) 12 D) 3
5	Perform synthetic division to solve the following expression: \$ (5x^3 - 2x + 3)/(x + 1)\$.	A) \$ 5x^2 - 5x + 3\$ B) \$ (5x^2 - 5x + 3)/(x + 1) \$ C) \$ 5x^2 - 2x - 3\$ D) \$ (5x^2 - 2x + 3)/(x - 1)\$
6	Perform synthetic division to solve the following expression: \$ ( 9x^2 + 8x - 15 )/( x + 1 ) \$, find the quotient.	A) \$ 7x - 1 \$ B) \$ 9x - 1 \$ C) \$ 8x - 1 \$ D) \$ 9x - 5 \$
7	Perform synthetic division to divide \$ 3x^3 + 2x^2 − 5x + 4 \$ by \$ x − 2 \$.	A) \$ 3x^2 + 18x + 11 + (26/(x - 2)) \$ B) \$ 3x^2 + 8x + 11 + (26/(x - 2)) \$ C) \$ 3x^2 + 8x + 11 + (16/(x - 2)) \$ D) \$ 3x^2 + 8x + 21 + (26/(x - 2)) \$
8	Using synthetic division, determine the remainder when the polynomial \$ 8x^3 − 6x^2 + 4x - 2 \$ is divided by the binomial \$ x + 2 \$.	A) - 78 B) - 88 C) - 98 D) - 68
9	Perform the synthetic division \$ 5x^4 - 7x^3 + 2x^2 + 4x - 3 \$ by \$ x + 3 \$, and find the quotient and remainder.	A) Quotient = \$ 2x^3 - 22x^2 + 68x - 200 \$, Remainder = 595 B) Quotient = \$ 5x^3 - 12x^2 + 68x - 200 \$, Remainder = 596 C) Quotient = \$ 5x^3 - 22x^2 + 68x - 200 \$, Remainder = 597 D) Quotient = \$ 2x^3 - 22x^2 + 68x - 200 \$, Remainder = 598
10	Divide \$ 10x^2 + 5x - 7 \$ by \$ x − 5 \$ using synthetic division.	A)\$ 10x + 25 + ( 268/(x - 5)) \$ B) \$ 10x + 55 + ( 168/(x - 5)) \$ C) \$ 7x + 55 + ( 268/(x - 5)) \$ D) \$ 10x + 55 + ( 268/(x - 5)) \$

Problem Id

Problem

Options

Divide \$ x^4 - 3x^3 - 7x^2 + 21x + 14 \$ by \$x − 2\$ using synthetic division.

A) \$ (2x^3 - 9x + 3 - 20)/(x - 2) \$

B) \$( 2x^3 - 3x^2 - 9x + 3 + 2)/(x - 2) \$

C) \$ (x^3 - x^2 - 9x + 3 + 20)/(x - 2) \$

D) \$ (x^3 - x^2 - 9x + 3 + 20)/(x - 2) \$

Perform the synthetic division \$x^3 + 6x^2 + 11x + 6\$ by \$x + 2\$, and find the quotient.

A) 0

B) \$ x^2 - 2x + 3\$

C) \$ x - 4\$

D) \$ x^2 + 4x + 3\$

Perform the synthetic division \$ 2x^3 - 5x^2 + 3x - 7\$ by \$x - 2\$, and find the quotient and remainder.

A) Quotient = \$ 2x^2 - x + 7\$,
Remainder = - 2

B) Quotient = \$ 2x^2 - x + 1\$,
Remainder = - 5

C) Quotient = \$ 2x^2 - x + 5\$,
Remainder = - 2

D) Quotient = \$ x^2 - 2x + 1\$,
Remainder = - 7

Using synthetic division, determine the remainder when the polynomial \$ 2x^3 − 3x^2 - 8x + 5 \$ is divided by the binomial \$x − 3\$.

A) 8

B) 6

C) 12

D) 3

Perform synthetic division to solve the following expression: \$ (5x^3 - 2x + 3)/(x + 1)\$.

A) \$ 5x^2 - 5x + 3\$

B) \$ (5x^2 - 5x + 3)/(x + 1) \$

C) \$ 5x^2 - 2x - 3\$

D) \$ (5x^2 - 2x + 3)/(x - 1)\$

Perform synthetic division to solve the following expression: \$ ( 9x^2 + 8x - 15 )/( x + 1 ) \$, find the quotient.

A) \$ 7x - 1 \$

B) \$ 9x - 1 \$

C) \$ 8x - 1 \$

D) \$ 9x - 5 \$

Perform synthetic division to divide \$ 3x^3 + 2x^2 − 5x + 4 \$ by \$ x − 2 \$.

A) \$ 3x^2 + 18x + 11 + (26/(x - 2)) \$

B) \$ 3x^2 + 8x + 11 + (26/(x - 2)) \$

C) \$ 3x^2 + 8x + 11 + (16/(x - 2)) \$

D) \$ 3x^2 + 8x + 21 + (26/(x - 2)) \$

Using synthetic division, determine the remainder when the polynomial \$ 8x^3 − 6x^2 + 4x - 2 \$ is divided by the binomial \$ x + 2 \$.

A) - 78

B) - 88

C) - 98

D) - 68

Perform the synthetic division \$ 5x^4 - 7x^3 + 2x^2 + 4x - 3 \$ by \$ x + 3 \$, and find the quotient and remainder.

A) Quotient = \$ 2x^3 - 22x^2 + 68x - 200 \$,
Remainder = 595

B) Quotient = \$ 5x^3 - 12x^2 + 68x - 200 \$,
Remainder = 596

C) Quotient = \$ 5x^3 - 22x^2 + 68x - 200 \$,
Remainder = 597

D) Quotient = \$ 2x^3 - 22x^2 + 68x - 200 \$,
Remainder = 598

Divide \$ 10x^2 + 5x - 7 \$ by \$ x − 5 \$ using synthetic division.

A)\$ 10x + 25 + ( 268/(x - 5)) \$

B) \$ 10x + 55 + ( 168/(x - 5)) \$

C) \$ 7x + 55 + ( 268/(x - 5)) \$

D) \$ 10x + 55 + ( 268/(x - 5)) \$