SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Test1

Grade: 8-b Lesson: S1-P1

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	Add the polynomials \$(2e^2 f + 3f^2e − f^2)\$ and \$(e^2 f−5e f^2 + 2f^2)\$ and \$- 4f^2 + 6e^2 f - 8f^2 e\$.	A) \$10ef^2 - 3f^2 + 9e^2f\$ B) \$-10ef^2 - 3f^2 + 9e^2f\$ C) \$-10ef^2 - 3f^2 - 9e^2f\$ D) \$-10ef^2 + 3f^2 + 9e^2f\$
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
3	\$(8x^2 + 10x + 2)/(4x + 1)\$ If ax + b represents the Quotient of the expression shown, then what is the value of a + b?	A) 10 B) 6 C) 12 D) 4
4	Add the polynomials \$2m^3 + 3m^2 - m + 4\$ and \$m^3 - 2m^2+5m - 3\$, then subtract the polynomial \$m^3 + m^2 - 2m +1\$.	A) \$2m^3 + 6m\$ B) \$2m^3 - 6m + 2\$ C) \$2m^3 - 6m\$ D) \$2m^3 + 2m^2 + 6m + 2\$
5	Consider the polynomials \$(3x^2 + 2x + 1) "and" (4x^2 - x - 2)\$. What is the product of these two expressions?	A) \$ 12x^4 + 5x^3 - 4x^2 - 5x - 2\$ B) \$ 2x^4 + 5x^3 + 4x^2 - x\$ C) \$ 12x^4 + 0x^3 - 4x^2 - 5x - 2\$ D) \$ x^4 + x^3 + 4x^2 - 5x - 2\$
6	If \$5f^2 - 9f + 7\$ is multiplied by 3f - 8, what is the coefficient of f in the resulting polynomial?	A) 93 B) 90 C) 97 D) 99
7	Let p(x) be a polynomial that is evenly divisible by \$(x+1)^2\$, and let q(x) = p(x) − 4. Find the value of q(3).	A) - 4 B) - 2 C) - 6 D) - 8
8	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
9	Find the difference \$ (6p^3 − 2p − 5) − (−p^3 + 3p^2 + 4) \$.	A) \$ 2p^3 − p^2 − 2p − 9 \$ B) \$ 7p^3 − 3p^2 − p − 8 \$ C) \$ 7p^3 − 3p^2 − 2p − 9 \$ D) \$ 4p^3 − 3p^2 − 2p − 9 \$
10	Let’s divide \$(4x^4 − 7x^3 + 2x^2 − 5x + 3) \$ by \$(x^2 − 3x + 2)\$.	A) \$ 4x^2 - 7x + 5 - (12x - 15)/( x^2 - 3x + 2) \$ B) \$ 4x^2 + 5x + 9 - (12x - 15)/( x^2 + 3x - 2) \$ C) \$ 4x^2 + 5x + 9 + (11x + 21)/( x^2 - 3x + 2) \$ D) \$ 4x^2 + 5x + 9 + (12x - 15)/( x^2 - 3x + 2) \$

Problem Id

Problem

Options

Add the polynomials \$(2e^2 f + 3f^2e − f^2)\$ and \$(e^2 f−5e f^2 + 2f^2)\$ and \$- 4f^2 + 6e^2 f - 8f^2 e\$.

A) \$10ef^2 - 3f^2 + 9e^2f\$

B) \$-10ef^2 - 3f^2 + 9e^2f\$

C) \$-10ef^2 - 3f^2 - 9e^2f\$

D) \$-10ef^2 + 3f^2 + 9e^2f\$

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

\$(8x^2 + 10x + 2)/(4x + 1)\$
If ax + b represents the Quotient of the expression shown, then what is the value of a + b?

A) 10

B) 6

C) 12

D) 4

Add the polynomials \$2m^3 + 3m^2 - m + 4\$ and \$m^3 - 2m^2+5m - 3\$, then subtract the polynomial \$m^3 + m^2 - 2m +1\$.

A) \$2m^3 + 6m\$

B) \$2m^3 - 6m + 2\$

C) \$2m^3 - 6m\$

D) \$2m^3 + 2m^2 + 6m + 2\$

Consider the polynomials \$(3x^2 + 2x + 1) "and" (4x^2 - x - 2)\$. What is the product of these two expressions?

A) \$ 12x^4 + 5x^3 - 4x^2 - 5x - 2\$

B) \$ 2x^4 + 5x^3 + 4x^2 - x\$

C) \$ 12x^4 + 0x^3 - 4x^2 - 5x - 2\$

D) \$ x^4 + x^3 + 4x^2 - 5x - 2\$

If \$5f^2 - 9f + 7\$ is multiplied by 3f - 8, what is the coefficient of f in the resulting polynomial?

A) 93

B) 90

C) 97

D) 99

Let p(x) be a polynomial that is evenly divisible by \$(x+1)^2\$, and let q(x) = p(x) − 4. Find the value of q(3).

A) - 4

B) - 2

C) - 6

D) - 8

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

Find the difference \$ (6p^3 − 2p − 5) − (−p^3 + 3p^2 + 4) \$.

A) \$ 2p^3 − p^2 − 2p − 9 \$

B) \$ 7p^3 − 3p^2 − p − 8 \$

C) \$ 7p^3 − 3p^2 − 2p − 9 \$

D) \$ 4p^3 − 3p^2 − 2p − 9 \$

Let’s divide \$(4x^4 − 7x^3 + 2x^2 − 5x + 3) \$ by \$(x^2 − 3x + 2)\$.

A) \$ 4x^2 - 7x + 5 - (12x - 15)/( x^2 - 3x + 2) \$

B) \$ 4x^2 + 5x + 9 - (12x - 15)/( x^2 + 3x - 2) \$

C) \$ 4x^2 + 5x + 9 + (11x + 21)/( x^2 - 3x + 2) \$

D) \$ 4x^2 + 5x + 9 + (12x - 15)/( x^2 - 3x + 2) \$