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1GP Quiz 1 (STE)

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

The greatest common monomial factor of

 xm, xn, x^m,\ x^n,\   and  xox^o  is  xmx^m  if 
 m > nm\ >\ n  and  m > om\ >\ o  .

a)

True

b)

False

2.

Fill in the blank



 12m2n  36mn2 =12m^2n\ -\ 36mn^2\ =  

(a)     (3m  9n)\left(3m\ -\ 9n\right)  

3.

What are the complete factors of the polynomial

 12x  3012x\ -\ 30  ?

a)

 6 (2𝑥  5)6\ (2𝑥\ −\ 5)  

b)

 6 (5  2x)6\ (5\ −\ 2x)  

c)

 6𝑥  56𝑥\ –\ 5  

d)

 6 (2x  30)6\ \left(2x\ -\ 30\right)  

4.

The difference of two squares is the square of a difference.

a)

True

b)

False

5.

 252  202 =25^2\ -\ 20^2\ =  

a)

 525^2  

b)

 45245^2  

c)

 45 × 545\ \times\ 5  

d)

 (25  20)2\left(25\ -\ 20\right)^2  

6.

Which of the following is a difference of two squares?

a)

121x6 10y12121x^6\ -\ 10y^{12}

b)

4x4 +25y104x^4\ +25y^{10}

c)

64x10 81y764x^{10}\ -\ 81y^7

d)

49x8 9y649x^8\ -\ 9y^6

7.

The binomial factor of a sum of two cubes is also a sum.

a)

True

b)

False

8.

Which of the following is both a perfect square and a perfect cube?

a)

6

b)

25

c)

64

d)

216

9.

Which of the following is the trinomial factor of

 x3 + 27x^3\ +\ 27  ?

a)

 x2 + 6x + 9x^2\ +\ 6x\ +\ 9  

b)

 x2 + 3x + 9x^2\ +\ 3x\ +\ 9  

c)

 x2 + 3x  9x^2\ +\ 3x\ -\ 9  

d)

 x2  3x + 9x^2\ -\ 3x\ +\ 9  

10.

Factor completely:

 64x3 + 27y364x^3\ +\ 27y^3  

a)

 (4x)3 + (3y)3\left(4x\right)^3\ +\ \left(3y\right)^3  

b)

 (4x + 3y) (16x2 12xy + 9y2)\left(4x\ +\ 3y\right)\ \left(16x^2\ -12xy\ +\ 9y^2\right)  

c)

 (4x + 3y) (4x2  4xy + 9y2)\left(4x\ +\ 3y\right)\ \left(4x^2\ -\ 4xy\ +\ 9y^2\right)  

d)

 (4x + 3y) (4x2  12xy + 3y2)\left(4x\ +\ 3y\right)\ \left(4x^2\ -\ 12xy\ +\ 3y^2\right)