SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	If \$(5f^2 - 9f + 7)\$ is multiplied by (3f - 8), what is the coefficient of f in the resulting polynomial?	A) 90 B) 93 C) 97 D) 99
2	Find the product of the following polynomials: \$(6k^2 − 8k+ 9) ""and"" (k^3− 8k^2 + 2k − 4)\$	A) \$ 6k^5 - 56k^4 + 55k^3 - 112k^2 + 17k - 36 \$ B) \$ 6k^5 - 56k^4 + 85k^3 - 112k^2 + 50k - 36 \$ C) \$ 6k^5 - 46k^4 + 85k^3 - 92k^2 + 50k - 36 \$ D) \$ 6k^5 - 26k^4 + 35k^3 - 112k^2 + 20k - 36 \$
3	Multiply \$(11n^2 − 6n + 15)\$ by \$(n − 3)\$.	A) \$ 11n^3 - 39n^2 + 32n - 15 \$ B) \$ 12n^3 - 19n^2 + 33n - 45 \$ C) \$ 21n^3 - 32n^2 + 13n - 45 \$ D) \$ 11n^3 - 39n^2 + 33n - 45 \$
4	Consider the polynomials \$(d^3 + 3) "and" (6d^2 - 2)\$. What is the product of these two expressions?	A) \$ 10d^5 − 2d^3 + 18d^2 − 16 \$ B) \$ 6d^5 − 12d^3 + 20d^2 − 6 \$ C) \$ 16d^5 − 12d^3 + 18d^2 − 16 \$ D) \$ 6d^5 − 2d^3 + 18d^2 − 6 \$
5	Multiplying polynomials expression: \$(2x^3 + 5y^2 + y)(4x^2 + 3y^2 - y)\$.	A) \$ 8x^5 + 6x^3y^2 − 2x^3y + 14x^2y + 25x^2y^2 − 5y^3 + 3y^3 + 15y^4 − y^2 \$ B) \$ 8x^5 + 9x^3y^2 − 3x^3y + 4x^2y + 20x^2y^2 + 15y^4 − y^2 \$ C) \$ 8x^5 + 6x^3y^2 − 2x^3y + 4x^2y + 20x^2y^2 − 5y^3 + 3y^3 + 15y^4 − y^2 \$ D) \$ 8x^5 − 2x^3y + 4x^2y − 5y^3 + 3y^3 + 15y^4 − y^2 \$
6	If \$(2x^2 + 3x − 4)\$ is multiplied by \$ ( x^2 − 2x + 5) \$, what is the coefficient of x in the resulting polynomial?	A) - 20 B) 0 C) 23 D) 2
7	Multiply \$(3x^2 − 2x + 5)\$ by \$(2x − 1)\$.	A) \$ 6x^3 - 7x^2 + 12x - 5\$ B) \$2x^3 - 11x^2 + 12x + 5\$ C) \$ 6x^3 + 12x - 5\$ D) \$3x^3 - x^2 - 10\$
8	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\$
9	Find the product of the following polynomials: \$ (3x^4−2x^3+5x^2−x+2) "and" (2x^3−x^2+3x−1) \$	A) \$ 6x^7 + 21x^5 - 16x^4 - 10x^2 + 7x - 2\$ B) \$ 6x^7 - 7x^6 + 21x^5 - 16x^4 + 22x^3 - 10x^2 + 7x - 2\$ C) \$ x^7 + x^6 + 2x^5 - 16x^4 - 33x^3 - 10x^2 + 17x - 12\$ D) \$ 7x^6 + 21x^5 - 16x^4 + 22x^3 - 10x^2 + 7x - 2\$
10	If \$(x + 2)^2\$ is multiplied by \$ ( x - 3)^2 \$, what is the coefficient of \$x^2\$ in the resulting polynomial?	A) - 2 B) - 11 C) 12 D) 1

Problem Id

Problem

Options

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

A) 90

B) 93

C) 97

D) 99

Find the product of the following polynomials:
\$(6k^2 − 8k+ 9) ""and"" (k^3− 8k^2 + 2k − 4)\$

A) \$ 6k^5 - 56k^4 + 55k^3 - 112k^2 + 17k - 36 \$

B) \$ 6k^5 - 56k^4 + 85k^3 - 112k^2 + 50k - 36 \$

C) \$ 6k^5 - 46k^4 + 85k^3 - 92k^2 + 50k - 36 \$

D) \$ 6k^5 - 26k^4 + 35k^3 - 112k^2 + 20k - 36 \$

Multiply \$(11n^2 − 6n + 15)\$ by \$(n − 3)\$.

A) \$ 11n^3 - 39n^2 + 32n - 15 \$

B) \$ 12n^3 - 19n^2 + 33n - 45 \$

C) \$ 21n^3 - 32n^2 + 13n - 45 \$

D) \$ 11n^3 - 39n^2 + 33n - 45 \$

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

A) \$ 10d^5 − 2d^3 + 18d^2 − 16 \$

B) \$ 6d^5 − 12d^3 + 20d^2 − 6 \$

C) \$ 16d^5 − 12d^3 + 18d^2 − 16 \$

D) \$ 6d^5 − 2d^3 + 18d^2 − 6 \$

Multiplying polynomials expression: \$(2x^3 + 5y^2 + y)(4x^2 + 3y^2 - y)\$.

A) \$ 8x^5 + 6x^3y^2 − 2x^3y + 14x^2y + 25x^2y^2 − 5y^3 + 3y^3 + 15y^4 − y^2 \$

B) \$ 8x^5 + 9x^3y^2 − 3x^3y + 4x^2y + 20x^2y^2 + 15y^4 − y^2 \$

C) \$ 8x^5 + 6x^3y^2 − 2x^3y + 4x^2y + 20x^2y^2 − 5y^3 + 3y^3 + 15y^4 − y^2 \$

D) \$ 8x^5 − 2x^3y + 4x^2y − 5y^3 + 3y^3 + 15y^4 − y^2 \$

If \$(2x^2 + 3x − 4)\$ is multiplied by \$ ( x^2 − 2x + 5) \$, what is the coefficient of x in the resulting polynomial?

A) - 20

B) 0

C) 23

D) 2

Multiply \$(3x^2 − 2x + 5)\$ by \$(2x − 1)\$.

A) \$ 6x^3 - 7x^2 + 12x - 5\$

B) \$2x^3 - 11x^2 + 12x + 5\$

C) \$ 6x^3 + 12x - 5\$

D) \$3x^3 - x^2 - 10\$

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\$

Find the product of the following polynomials:
\$ (3x^4−2x^3+5x^2−x+2) "and" (2x^3−x^2+3x−1) \$

A) \$ 6x^7 + 21x^5 - 16x^4 - 10x^2 + 7x - 2\$

B) \$ 6x^7 - 7x^6 + 21x^5 - 16x^4 + 22x^3 - 10x^2 + 7x - 2\$

C) \$ x^7 + x^6 + 2x^5 - 16x^4 - 33x^3 - 10x^2 + 17x - 12\$

D) \$ 7x^6 + 21x^5 - 16x^4 + 22x^3 - 10x^2 + 7x - 2\$

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

A) - 2

B) - 11

C) 12

D) 1