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Chapter 8 Polynomials Assessment

Total questions: 20

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Classify the polynomial by degree and number of terms: x3 + 2x2 - 9x + 1

a)

Quadratic

b)

Cubic

c)

Polynomial

d)

Trinomial

e)

Not a polynomial

2.

Classify the polynomial by degree and number of terms: x3 + 2x-2 - 9x + 1

a)

Quadratic

b)

Cubic

c)

Polynomial

d)

Trinomial

e)

Not a polynomial

3.

Classify the polynomial by degree and number of terms: xyz

a)

Quadratic

b)

Cubic

c)

Monomial

d)

Trinomial

e)

Not a polynomial

4.

(5x4 + 7x3 - 9x + 54) + (2x5 + 4x4 + 3x3 + 9y - 53)

a)

2x5 + 9x4 + 3x3 + 1

b)

2x4 + 9x3 + 10x5 - 1

c)

6x5 + 11x4 - 6x3 + 63y - 53

d)

2x5 + 9x4 + 10x3 - 9x + 9y + 1

5.

(10x4 - 5x3 + x + y - 11) - (20x4 + 7x3 - 7x + 11)

a)

30x4 + 2x3 - 6x + y

b)

-10x4 - 12x3 + 9x + y - 22

c)

-5x2 - 6x1.5 + 4.5x0.5 + 1/2y -11

d)

-10x3 - 12x4 + y + 9x - 22

6.

5x5(9x3 + 3x2 - 2)

a)

14x8 + 8x7 + 3x6

b)

45x5 + 15x7 - 10x8

c)

45x8 + 15x7 - 10x5

d)

9x3 + 3x2 - 2

7.

(9x3 + y2)(z + 1)

a)

9x3z + 2y2

b)

9x2z + 9x2 + yz + y

c)

9x4z + 9x4 + y3z + y3

d)

9x3z + 9x3 + y2z + y2

8.

(5x + 5)2

a)

25x2 + 50x + 25

b)

25x2 + 25x + 25

c)

25x + 25x + 25

d)

25x2 + 50x + 10

9.

(10x - 2)2

a)

100x2 + 40x + 4

b)

100x2 - 40x + 4

c)

20x - 4

d)

100x2 - 40x - 4

10.

(50x + 9)(50x - 9)

a)

2500x2 + 81

b)

100x

c)

2500x2 - 81

d)

100x + 18

11.

121x2 + 22x

a)

22x(11x + 2

b)

11c(11x + 2)

c)

11x(11x - 2)

d)

11x(11x + 2)

12.

20xy + 35x + 36y + 63

a)

(5x + 9)(4y + 7)

b)

(5x + 7)(4y + 9)

c)

(5x + 4y)(7 + 9)

d)

(9x + 5)(7y + 4)

13.

4xy - 16x + 36 - 9y

a)

(4x + 9)(y + 4)

b)

(4x - 9)(y - 4)

c)

(9x - 4)(4y - 1)

d)

(4x - 4)(y - 9)

14.

x2 + 15x + 54

a)

(x + 7)(x + 8)

b)

Prime

c)

(x + 9)(x + 6)

d)

(x + 3)(x + 2)

15.

27x2 - 18x - 72

a)

9(x + 6)(x - 4)

b)

Prime

c)

3(x + 9)(x - 6)

d)

9(x - 6)(x + 4)

16.

8x2 + 4x + 9

a)

(x + 7)(x + 4)

b)

Prime

c)

(x + 6)(x + 3)

d)

(x + 4)(x + 2)

17.

x8 - 256

a)

(x4 + 16)(x4 - 16)

b)

(x4 + 16)(x2 + 4)(x2 - 4)

c)

(x4 + 16)(x2 + 4)(x + 2)(x - 2)

d)

(x + 2)3(x - 2)3

18.

25x5 - 225x

a)

25x(x4 - 9)

b)

25x(x2 + 4)(x2 - 4)

c)

25x(x2 + 3)(x + 2)(x - 2)

d)

25x(x2 + 3)(x2 - 3)

19.

What is a perfect square trinomial?

a)

A trinomial that is the product of (a + b)2 or (a - b)2.

b)

A trinomial that is the product of (a + b)(a - b).

c)

A trinomial that can be squared.

d)

A trinomial that you can square the square root of the square root of the cubic root of.

20.

Is this a perfect square trinomial? 25x2 + 60x + 36

a)

Yes

b)

No