SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Multiplication of Polynomials

Grade: 8-a Lesson: S1-L2

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: at Home

Problem Id	Problem	Options
1	Find the product of \$(5m^3 − 3m^2 + 9)\$ and (4m + 7).	A) \$ 12m^4 + 23m^3 - 18m^2 + 36m + 32\$ B) \$ 20m^4 + 23m^3 - 21m^2 + 36m + 63\$ C) \$ 20m^4 + 13m^3 - 21m^2 + 16m + 64\$ D) \$ 20m^4 + 23m^3 - 11m^2 + 36m + 65\$
2	Consider the polynomials \$(4r^2 + 6r + 3) "and" (2r - 5)\$. What is the product of these two expressions?	A) \$ 8r^3 - 18r^2 - 24r - 25 \$ B) \$ 8r^3 - 8r^2 - 24r - 15 \$ C) \$ 2r^3 - 8r^2 - 14r - 15 \$ D) \$ 8r^3 - 18r^2 - 24r - 15 \$
3	If \$ (2s^3 +14s^2 - 13s + 18) \$ is multiplied by (5.6s - 4), what is the coefficient of \$s^3\$ in the resulting polynomial?	A) 63.5 B) 64.7 C) 60.9 D) 62.4
4	Multiplying polynomials expression: \$(5u^3 + 6v^2 + v)(3u^2 + 4v^2 - 2v)\$.	A) \$ 15u^5 + 20u^3v^2 - 12u^3v + 12u^2v^2 + 22v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$ B) \$ 18u^5 + 10u^3v^2 - 20u^3v + 18u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$ C) \$ 15u^5 + 11u^3v^2 - 15u^3v + 12u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$ D) \$ 15u^5 + 20u^3v^2 - 10u^3v + 18u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$
5	If \$(4h^5 - 19h^3 + 7)\$ is multiplied by (2.8h - 3), what is the coefficient of \$h^6\$ in the resulting polynomial?	A) 8.9 B) 23.4 C) 11.2 D) 16.7
6	Multiply \$(x^2 + 2x − 1)\$ by \$(x^2 − 3x + 2)\$.	A) \$ x^4 - 6x^3 + 10x ^2 - 4x + 4\$ B) \$ x^4 - 6x^3 + 10x ^2 - 2x - 2\$ C) \$ x^4 - x^3 - 5x ^2 + 7x - 2\$ D) \$ x^4 - x^3 + 5x ^2 - 2\$
7	Consider the polynomials \$(2x^2y - 3xy^2 + 4x ) "and" (3xy - 2y^2 + 1 ) \$. What is the product of these two expressions?	A) \$ 6x^3y^2 - 13x^2y^3 + 14x^2y + 6xy^4 - 11xy^2 + 4x\$ B) \$ 6x^3y^2 - 3x^2y^3 + 4x^2y + 6xy^4 - 11x^2y^2 + 4x\$ C) \$ 6x^3y^2 - 13x^2y^3 + 14x^2y + 6xy^4 - 11xy^2 + 4x\$ D) \$ 6x^4y^3 - 13x^3y^3 + 14x^2y^2 + 6xy^4 - 11xy^2 + 4x\$
8	Find the product of the following polynomials: \$ (2x^3 + 3x^2 − x + 4) "and" (3x^2 − 2x + 1) \$	A) \$ 6x^5 + 5x^4 - 7x^3 + 17x^2 - 9x + 4\$ B) \$ x^5 + x^4 - 7x^3 + 17x^2 - 9x + 4\$ C) \$ 6x^5 - 5x^4 - 7x^3 + x^2 - 9x + 2\$ D) \$ 6x^5 + 2x^4 - 5x^3 + 19x^2 - 9x + 4\$
9	Multiplying polynomials expression: \$(x^3 + 2x^2 − x − 2)(x^3 − x^2 + 3x − 3) \$	A) \$ x^6 + x^4 + 2x^3 - 7x^2 + 6\$ B) \$ x^6 + x^5 + 2x^3 - 7x^2 - 3x + 6\$ C) \$ x^6 + x^5 + 2x^4 - 7x^3 - 3x^2 + 6x\$ D) \$x^5 + 2x^4 - 3x^3 - 5x^2 + 6x - 9\$
10	If \$(2x^2 - 1/2 x + 3)\$ is multiplied by \$ (3x - 2/3) \$, what is the coefficient of \$x^2\$ in the resulting polynomial?	A) \$ 28/3\$ B) \$ - 17/6\$ C) - 2 D) 6

Problem Id

Problem

Options

Find the product of \$(5m^3 − 3m^2 + 9)\$ and (4m + 7).

A) \$ 12m^4 + 23m^3 - 18m^2 + 36m + 32\$

B) \$ 20m^4 + 23m^3 - 21m^2 + 36m + 63\$

C) \$ 20m^4 + 13m^3 - 21m^2 + 16m + 64\$

D) \$ 20m^4 + 23m^3 - 11m^2 + 36m + 65\$

Consider the polynomials \$(4r^2 + 6r + 3) "and" (2r - 5)\$. What is the product of these two expressions?

A) \$ 8r^3 - 18r^2 - 24r - 25 \$

B) \$ 8r^3 - 8r^2 - 24r - 15 \$

C) \$ 2r^3 - 8r^2 - 14r - 15 \$

D) \$ 8r^3 - 18r^2 - 24r - 15 \$

If \$ (2s^3 +14s^2 - 13s + 18) \$ is multiplied by (5.6s - 4), what is the coefficient of \$s^3\$ in the resulting polynomial?

A) 63.5

B) 64.7

C) 60.9

D) 62.4

Multiplying polynomials expression: \$(5u^3 + 6v^2 + v)(3u^2 + 4v^2 - 2v)\$.

A) \$ 15u^5 + 20u^3v^2 - 12u^3v + 12u^2v^2 + 22v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$

B) \$ 18u^5 + 10u^3v^2 - 20u^3v + 18u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$

C) \$ 15u^5 + 11u^3v^2 - 15u^3v + 12u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$

D) \$ 15u^5 + 20u^3v^2 - 10u^3v + 18u^2v^2 + 24v^4 - 12v^3 + 3u^2 - 4v^3 - 2v^2 \$

If \$(4h^5 - 19h^3 + 7)\$ is multiplied by (2.8h - 3), what is the coefficient of \$h^6\$ in the resulting polynomial?

A) 8.9

B) 23.4

C) 11.2

D) 16.7

Multiply \$(x^2 + 2x − 1)\$ by \$(x^2 − 3x + 2)\$.

A) \$ x^4 - 6x^3 + 10x ^2 - 4x + 4\$

B) \$ x^4 - 6x^3 + 10x ^2 - 2x - 2\$

C) \$ x^4 - x^3 - 5x ^2 + 7x - 2\$

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

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

A) \$ 6x^3y^2 - 13x^2y^3 + 14x^2y + 6xy^4 - 11xy^2 + 4x\$

B) \$ 6x^3y^2 - 3x^2y^3 + 4x^2y + 6xy^4 - 11x^2y^2 + 4x\$

C) \$ 6x^3y^2 - 13x^2y^3 + 14x^2y + 6xy^4 - 11xy^2 + 4x\$

D) \$ 6x^4y^3 - 13x^3y^3 + 14x^2y^2 + 6xy^4 - 11xy^2 + 4x\$

Find the product of the following polynomials:
\$ (2x^3 + 3x^2 − x + 4) "and" (3x^2 − 2x + 1) \$

A) \$ 6x^5 + 5x^4 - 7x^3 + 17x^2 - 9x + 4\$

B) \$ x^5 + x^4 - 7x^3 + 17x^2 - 9x + 4\$

C) \$ 6x^5 - 5x^4 - 7x^3 + x^2 - 9x + 2\$

D) \$ 6x^5 + 2x^4 - 5x^3 + 19x^2 - 9x + 4\$

Multiplying polynomials expression:
\$(x^3 + 2x^2 − x − 2)(x^3 − x^2 + 3x − 3) \$

A) \$ x^6 + x^4 + 2x^3 - 7x^2 + 6\$

B) \$ x^6 + x^5 + 2x^3 - 7x^2 - 3x + 6\$

C) \$ x^6 + x^5 + 2x^4 - 7x^3 - 3x^2 + 6x\$

D) \$x^5 + 2x^4 - 3x^3 - 5x^2 + 6x - 9\$

If \$(2x^2 - 1/2 x + 3)\$ is multiplied by \$ (3x - 2/3) \$, what is the coefficient of \$x^2\$ in the resulting polynomial?

A) \$ 28/3\$

B) \$ - 17/6\$

C) - 2

D) 6