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QUARTER 1 WEEK 5 PRE-TEST

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

If a fifth degree polynomial is divided by a third degree polynomial, what is the degree of the quotient?

a)

1

b)

2

c)

3

d)

4

2.

Divide x3−5x2+2x−10x^3-5x^2+2x-10  by  x2+2x^2+2  

a)

 𝑥2−7𝑥+16𝑥^2−7𝑥+16  

b)

 𝑥2−3𝑥+8𝑥^2−3𝑥+8  

c)

 𝑥+5𝑥+5  

d)

 𝑥−5𝑥−5  

3.

In the division algorithm P(x)d(x)=Q(x)+r(x)d(x)\frac{P\left(x\right)}{d\left(x\right)}=Q\left(x\right)+\frac{r\left(x\right)}{d\left(x\right)}  

 what is the dividend?

a)

 𝑃(𝑥)𝑃(𝑥)  

b)

 𝑑(𝑥)𝑑(𝑥)  

c)

 𝑟(𝑥)𝑟(𝑥)  

d)

 Q(𝑥)Q(𝑥)  

4.

Find the remainder when 𝑥3−2𝑥2+4𝑥−3𝑥^3−2𝑥^2+4𝑥−3  

 is the divided by   x−2x-2  .

a)

27

b)

5

c)

-5

d)

-27

5.

If  𝑥3−2𝑥2−5𝑥+6𝑥^3−2𝑥^2−5𝑥+6  is the divided by  𝑥−1𝑥−1 , the remainder is zero.

a)

True

b)

False

c)

Cannot be determined

d)

Trulse

6.

What is the remainder?

a)

41𝑥−6441𝑥−64

b)

𝑥+4𝑥+4

c)

4141

d)

162162

7.

What is the divisor?

a)

 𝑥−4𝑥−4 

b)

 5𝑥−65𝑥-6 

c)

 3x2+10x+413x^2+10x+41 

d)

162162

8.

Which is the quotient?

a)

 𝑥−4𝑥−4 

b)

 5𝑥−65𝑥-6 

c)

 3x2+10x+413x^2+10x+41 

d)

162162

9.

Using synthetic division to divide  𝑦3−7𝑦2−20𝑦^3−7𝑦^2−20  by  y−3y-3  which of the following is the correct first row of the algorithm?


a)

-3]  3   -7   -20

b)

-3]  3   -7   0 -20

c)

3]  3   -7   -20

d)

3]  3   -7   -0   -20

10.

Which polynomial is the dividend?

a)

𝑥4+6𝑥3+2𝑥2−12𝑥𝑥^4+6𝑥^3+2𝑥^2−12𝑥

b)

𝑥3+6𝑥2+2𝑥−12𝑥^3+6𝑥^2+2𝑥−12

c)

𝑥3+4𝑥2−6𝑥𝑥^3+4𝑥^2−6𝑥

d)

𝑥2+4𝑥−6𝑥^2+4𝑥−6

11.

Which polynomial is the quotient?

a)

𝑥4+6𝑥3+2𝑥2−12𝑥𝑥^4+6𝑥^3+2𝑥^2−12𝑥

b)

𝑥3+6𝑥2+2𝑥−12𝑥^3+6𝑥^2+2𝑥−12

c)

𝑥3+4𝑥2−6𝑥𝑥^3+4𝑥^2−6𝑥

d)

𝑥2+4𝑥−6𝑥^2+4𝑥−6

12.

Find the quotient when (𝑥3−2𝑥2−11𝑥−20)(𝑥^3−2𝑥^2−11𝑥−20)  

by  x−5x-5  

a)

 𝑥2+3𝑥+4𝑥^2+3𝑥+4  

b)

 𝑥2−3𝑥+4𝑥^2−3𝑥+4  

c)

 𝑥2+3𝑥−4𝑥^2+3𝑥−4  

d)

 𝑥2−3𝑥−4𝑥^2−3𝑥−4  

13.

What is the quotient when  (2𝑥3−9𝑥2−2𝑥+3)(2𝑥^3−9𝑥^2−2𝑥+3)   is divided by  (2𝑥−1)(2𝑥−1)  .

a)

 𝑥2+4𝑥+3𝑥^2+4𝑥+3  

b)

 2𝑥2−8𝑥−62𝑥^2−8𝑥−6  

c)

 𝑥2−4𝑥−3𝑥^2−4𝑥−3  

d)

 2𝑥2+8𝑥+62𝑥^2+8𝑥+6  

14.

What will be multiplied to  𝑥2−6𝑥+2𝑥^2−6𝑥+2 to get   3𝑥3−19𝑥2+12𝑥−23𝑥^3−19𝑥^2+12𝑥−2  ?

a)

 3𝑥−13𝑥−1  

b)

 3𝑥+13𝑥+1  

c)

 𝑥+3𝑥+3  

d)

 3𝑥+23𝑥+2  

15.

The volume of a rectangular prism is  (2𝑥3−11𝑥2+13𝑥−4)𝑐𝑚3(2𝑥^3−11𝑥^2+13𝑥−4)𝑐𝑚^3 and its height is   (𝑥−4)cm(𝑥−4)cm  . What is the area of its base?

a)

 (2𝑥2−3𝑥+1)𝑐𝑚2(2𝑥^2−3𝑥+1)𝑐𝑚^2  

b)

 (2𝑥2+19𝑥+76)𝑐𝑚2(2𝑥^2+19𝑥+76)𝑐𝑚^2  

c)

 (2𝑥2+3𝑥−1)𝑐𝑚2(2𝑥^2+3𝑥−1)𝑐𝑚^2  

d)

 (2𝑥2−19𝑥−76)𝑐𝑚2(2𝑥^2−19𝑥−76)𝑐𝑚^2