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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Polynomial functions

Grade: 1300-a Lesson: S2-L2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten 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	Determine the remainder when \$2x^5 - 3x^4 + 7x^2 + 5x - 11\$ is divided by x - 1.	A) 1 B) 0 C) 3 D) 2
2	Factor: \$128x^7 - 1\$.	A) \$(2x − 3)(64x^7 + 31x^5 + 6x^4 + 18x^3 + 14x^2 + 2x + 21)\$ B) \$(2x − 1)(64x^6 + 32x^5 + 16x^4 + 8x^3 + 4x^2 + 2x + 1)\$ C) \$(x − 1)(61x^6 + 30x^5 + 26x^4 + 38x^3 + 44x^2 + 2x + 71)\$ D) \$(x − 1)(50x^6 + 21x^5 + 16x^4 + 8x^3 + 4x^2 + 55x + 12)\$
3	Completely factor \$6x^4 + x^3 - 39x^2 + 6x + 40\$.	A) \$(x − 1)(x + 1)(2x + 7)(3x − 2)\$ B) \$(x − 2)(x + 1)(x + 5)(x − 4)\$ C) \$(x − 3)(x + 1)(2x + 7)(3x − 8)\$ D) \$(x − 2)(x + 1)(2x + 5)(3x − 4)\$
4	What is the quotient when \$2x^5 - 3x^4 + 7x^2 + 5x - 11\$ is divided by x - 1?	A) \$2x^4 - x^3 − x^2 + 6x + 31\$ B) \$2x^4 -3x^3 − 8x^2 + x + 21\$ C) \$x^4 - 3x^3 − 2x^2 + 6x + 1\$ D) \$2x^4 - x^3 − x^2 + 6x + 11\$
5	Use synthetic division to divide \$6x^4 + x^3 - 39x^2 + 6x + 40\$ by 3x - 4.	A) \$x^4 + 1x^2 − 4x − 14\$ B) \$x^3 + 3x^2 − 7x − 10\$ C) \$2x^3 + 3x^2 − 9x − 10\$ D) \$5x^3 + 2x^2 − x − 15\$
6	The number of shirts sold by the shopkeeper is given by the expression 3x - 5. The price per shirt is given by the expression 2x + 1. Find the total amount of revenue earned by the shopkeeper by selling the shirts.	A) \$x^2 - 7x - 5\$ B) \$6x^2 - 5x - 5\$ C) \$6x^2 - 7x - 5\$ D) \$3x^2 - 7x - 5\$
7	Find a and b if the polynomial \$x^5 - ax + b\$ is divisible by \$x^2 - 4\$.	A) a = 16 and b = 0 B) a = 18 and b = 2 C) a = - 16 and b = 0 D) a = 16 and b = - 3
8	Find a quadratic polynomial whose sum and product respectively of the zeroes are \$21 /8\$ and \$5 / 16\$. Also, find the zeroes of the polynomial by factorization.	A) \$x = 5 / 2\$, \$x = 1 / 8\$ B) \$x = 5 / 2\$, \$x = 3 / 8\$ C) \$x = 5 / 2\$, \$x = - 1 / 8\$ D) \$x = - 5 / 2\$, \$x = - 1 / 8\$
9	Find the maximum and minimum values of the polynomial P(x) = \$- 2x^3 + 3x^2 + 12x - 1\$ on the interval [- 2, 3].	A) - 19 , 8 B) 19 , - 8 C) - 19 , - 8 D) 19 , 8
10	Find the maximum and minimum values of the polynomial P(x) = \$- x^3 + 6x^2 - 9x + 4\$ on the interval [0, 5].	A) - 4, - 16 B) 4, - 16 C) 4, 16 D) - 4, 16

Problem Id

Problem

Options

Determine the remainder when \$2x^5 - 3x^4 + 7x^2 + 5x - 11\$ is divided by x - 1.

A) 1

B) 0

C) 3

D) 2

Factor: \$128x^7 - 1\$.

A) \$(2x − 3)(64x^7 + 31x^5 + 6x^4 + 18x^3 + 14x^2 + 2x + 21)\$

B) \$(2x − 1)(64x^6 + 32x^5 + 16x^4 + 8x^3 + 4x^2 + 2x + 1)\$

C) \$(x − 1)(61x^6 + 30x^5 + 26x^4 + 38x^3 + 44x^2 + 2x + 71)\$

D) \$(x − 1)(50x^6 + 21x^5 + 16x^4 + 8x^3 + 4x^2 + 55x + 12)\$

Completely factor \$6x^4 + x^3 - 39x^2 + 6x + 40\$.

A) \$(x − 1)(x + 1)(2x + 7)(3x − 2)\$

B) \$(x − 2)(x + 1)(x + 5)(x − 4)\$

C) \$(x − 3)(x + 1)(2x + 7)(3x − 8)\$

D) \$(x − 2)(x + 1)(2x + 5)(3x − 4)\$

What is the quotient when \$2x^5 - 3x^4 + 7x^2 + 5x - 11\$ is divided by x - 1?

A) \$2x^4 - x^3 − x^2 + 6x + 31\$

B) \$2x^4 -3x^3 − 8x^2 + x + 21\$

C) \$x^4 - 3x^3 − 2x^2 + 6x + 1\$

D) \$2x^4 - x^3 − x^2 + 6x + 11\$

Use synthetic division to divide \$6x^4 + x^3 - 39x^2 + 6x + 40\$ by 3x - 4.

A) \$x^4 + 1x^2 − 4x − 14\$

B) \$x^3 + 3x^2 − 7x − 10\$

C) \$2x^3 + 3x^2 − 9x − 10\$

D) \$5x^3 + 2x^2 − x − 15\$

The number of shirts sold by the shopkeeper is given by the expression 3x - 5. The price per shirt is given by the expression 2x + 1. Find the total amount of revenue earned by the shopkeeper by selling the shirts.

A) \$x^2 - 7x - 5\$

B) \$6x^2 - 5x - 5\$

C) \$6x^2 - 7x - 5\$

D) \$3x^2 - 7x - 5\$

Find a and b if the polynomial \$x^5 - ax + b\$ is divisible by \$x^2 - 4\$.

A) a = 16 and b = 0

B) a = 18 and b = 2

C) a = - 16 and b = 0

D) a = 16 and b = - 3

Find a quadratic polynomial whose sum and product respectively of the zeroes are \$21 /8\$ and \$5 / 16\$. Also, find the zeroes of the polynomial by factorization.

A) \$x = 5 / 2\$, \$x = 1 / 8\$

B) \$x = 5 / 2\$, \$x = 3 / 8\$

C) \$x = 5 / 2\$, \$x = - 1 / 8\$

D) \$x = - 5 / 2\$, \$x = - 1 / 8\$

Find the maximum and minimum values of the polynomial P(x) = \$- 2x^3 + 3x^2 + 12x - 1\$ on the interval [- 2, 3].

A) - 19 , 8

B) 19 , - 8

C) - 19 , - 8

D) 19 , 8

Find the maximum and minimum values of the polynomial P(x) = \$- x^3 + 6x^2 - 9x + 4\$ on the interval [0, 5].

A) - 4, - 16

B) 4, - 16

C) 4, 16

D) - 4, 16