Module 8: Theorems on Polynomials

Quiz by Zenaida S. Nanoy

Feel free to use or edit a copy

includes Teacher and Student dashboards

### Measures 2 skills fromGrade 10MathematicsPhilippines Curriculum: Grades K-10 (MELC)

Track each student's skills and progress in your Mastery dashboards

- edit the questions
- save a copy for later
- start a class game
- automatically assign follow-up activities based on students’ scores
- assign as homework
- share a link with colleagues
- print as a bubble sheet

### Our **brand new** solo games combine with your quiz, on the same screen

Correct quiz answers unlock more play!

- Q1
Which of the following is a factor of x

^{3}- 6x^{2}- 12x + 45?x+2

x-4

x+3

x+1

300sM10AL-Ih-1 - Q2
What is the remainder when 2x

^{4}- 3x^{3}- 5x + 16 is divided by x - 2?12

14

16

18

300sM10AL-Ih-1 - Q3
Which expression gives the remainder when P(x)= x

^{5}+ 2x^{3}- 3x + 6 is divided by x +3?P(2)

P(-2)

P(-3)

p(-1)

300sM10AL-Ih-1 - Q4
Given: P(x) = 5x

^{3}– 2x^{2}- 7x – 6, what is P(-1) ?-7

8

-6

-20

300sM10AL-Ih-1 - Q5
Which is a factor of P(x) = x

^{4}- 3x^{2}+ 5x + 6 ?x+2

x-2

x-1

x+1

300sM10AL-Ih-1 - Q6
Is the polynomial x

^{3}+x^{2}- 12x + 3 divisible by x - 3?Undefined

Maybe

No

Yes

300sM10AL-Ih-1 - Q7
What is the remainder when P(x) = x

^{2019}– 7x^{2020}+ 6 is divided by x – 1?10

12

0

-12

300sM10AL-Ig-1 - Q8
Find the value of k for which x + 2 is a factor of P(x) = x

^{3}+3x^{2}+ kx + 10?6

4

7

5

300sM10AL-Ig-1 - Q9
What is the remainder when 5x

^{200}– 3x^{205}is divided by x + 1?11

1

8

-2

300sM10AL-Ig-1 - Q10
If P(-3) = 0, which of the following statements is true about P(x )?

x -3 is a factor of P(x )

P( 0) = -3

x + 3 is a factor of P(x )

3 is a root of P(x)=0

300sM10AL-Ih-1 - Q11
If P(x) = 7x

^{6}– 8x^{8}+ 2x^{2}+ x^{3}– 9, then the leading coefficient is _______.8

6

9

-8

300sM10AL-Ig-1 - Q12
One of the roots of 3x

^{3}(x^{2}+ 2x - 5) is 0. How many other roots are there?4

6

3

5

300sM10AL-Ig-1 - Q13
Which set consists the possible rational roots of x

^{3}+ 4x^{2}- 2x + 8 = 0?±1, ±2, ±4

±1, ±8

±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8

±1, ±2, ±4, ±8

300sM10AL-Ig-1 - Q14
What polynomial equation has 2, 3, and 4 as roots?

(x – 2) (x + 4) (x – 3) = 0

(x + 2) (x – 3) (x + 4) = 0

2 (x - 2) (x - 4) (x - 3) = 0

2 (x + 2) (x + 3) (x + 4) = 0

300sM10AL-Ig-1 - Q15
The root of x

^{3}+ 2x^{2}– 13x + 10 = 0 is_______.5

-5

-2

-1

300sM10AL-Ig-1