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Factoring Polynomial

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

For a concert, 1485 tickets were sold, having a total of Php 197000.  Some tickets were sold for Php 100 and the rest for Php 200 each. How many concert tickets were sold at Php 100?

a)

500

b)

1000

c)

1500

d)

2000

2.

A polygon has 20 diagonals. How many sides does the polygon have?

a)

8

b)

10

c)

12

d)

14

3.


The hourly rates of six workers are as follows: Php 50, Php 35, Php 40, Php 45, Php 40, Php 30 Find the standard deviation.

a)

 ≈3.45\approx3.45  

b)

 ≈4.45\approx4.45  

c)

 ≈5.45\approx5.45  

d)

 ≈6.45\approx6.45  

4.

What is the value of x in the ordered pair of real numbers (x, y) for which x + y = 50 and  x2−y2=50x^2-y^2=50 ?

a)

15.5

b)

20.5

c)

25.5

d)

30.5

5.

How many 3-letter codes can be formed from the letters A-J if there is no repetition and, there is at least one vowel. 

a)

510

b)

520

c)

530

d)

540

6.

Simplify:

(73+57)2−(73−57)2\left(\frac{7}{3}+\frac{5}{7}\right)^2-\left(\frac{7}{3}-\frac{5}{7}\right)^2

a)

143\frac{14}{3}

b)

203\frac{20}{3}

c)

493\frac{49}{3}

d)

3521\frac{35}{21}

7.

Factor completely :

2x6+2x−42x^6+2x-4

a)

2(x6+x−4)2\left(x^6+x-4\right)

b)

(x2−1)(x4+x2+4)\left(x^2-1\right)\left(x^4+x^2+4\right)

c)

2(x−1)(x+1)(x4+x2+2)2\left(x-1\right)\left(x+1\right)\left(x^4+x^2+2\right)

d)

2(x−1)(x−1)(x4+x2+2)2\left(x-1\right)\left(x-1\right)\left(x^4+x^2+2\right)

8.

If  b=−34b=-\frac{3}{4} for what value of a will   3x−4y=a  and   bx+y=43x-4y=a\ \ and\ \ \ bx+y=4   be  consistent?be\ \ consistent? 

a)

 a=−4a=-4 

b)

 a≠−4a\ne-4 

c)

 a=−16a=-16 

d)

 a≠−16a\ne-16 

9.


 The  fraction  613=1a+1b  where  a  and  b are The\ \ fraction\ \ \frac{6}{13}=\frac{1}{a+\frac{1}{b}}\ \ where\ \ a\ \ and\ \ b\ are\    natural  numbers. Find  the  numerical  of  a+ b.natural\ \ numbers.\ Find\ \ the\ \ numerical\ \ of\ \ a+\ b. 

a)

88

b)

66

c)

22

d)

1919

10.

John has many sticks of length 4, 5, and 8. He wants to form triangles each of whose sides consists of exactly one stick. How many non-congruent triangles can he form with the sticks?

a)

1010

b)

99

c)

 88  

d)

 77