Chapter 3_Polynomial

A

100

Find the degree of polynomial : 

3x⁵y⁶z+x⁶z²

12

3x⁵y⁶z

200

Simplify: (3x²)³ /9x²  

3x⁴

300

Classify this polynomial by the number of terms

m²n+5mn-3

trinomial

400

A notebook costs x+2 dollars. A student buys 3 notebooks and a calculator costing 15 dollars.
Write an expression for the total cost.

3(x+2)+15=3x+21

500

One number is xx. The second number is twice the first number plus 5.
Write an expression for the sum of the two numbers.

Answer:

x+(2x+5)=3x+5

B

100

Expand:

5[2-5k(2k-3)]

-50k²+75k+10

200

simplify:

3xy(x³-2x²yz)-3x⁴y

-6x³y²z¹

300

simplify:

-3u+2-u²+5u+5u²-4

4u²+2u-2

400

simplify:

4mn-6m²+4mn²-nm+2m²n+6m²

3mn+4mn²+2m²n

500

A photograph has dimensions x cm by x+3 cm. A border of 2 cm is added around all four sides.
Write an expression for the dimensions of the new photograph and then an expression for its area.

New dimensions:

x+4 by x+7

Area:

(x+4)(x+7)=x²+11x+28 

C

100

-2/3(5a-6b)-1/4(10a+2b)

-35/6(a)+7/2(b)

200

expand and simplify:

5k(3k-2)-3(2-7k)+(2-k)4k

11k²+19k-6

300

simplify:

(3x-y)(2x+5y)

6x²+13xy-5y²

400

expand and simplify:

-2[ [ 8-4 (3k+5) -2k ]+5k ]

18k+24

500

expand and simplify:

[(-1)³]²

+1

D

100

Expand: (x+3)(x+5)

x²+8x+15

200

Expand and simplify: (2x−3)(x+5)

2x²+7x−15

300

-3²

-9

400

(2c³b⁴)(3a⁴bc²)/(4ab³c²)

3/2(a³b²c³)

500

(2²)((-2)³)³ / -8³

4

E

100

2⁴/2³/2⁵

2^-4

200

(-3)²

9

300

Simplify completely: 2x(3x²−2x+4)−3x(x²+5x−2)+4(x²−3x+1)

3x³−17x²+8x+4

400

A rectangular swimming pool has a length of 2x+5 metres and a width of x−2 metres.
Write and expand an expression for the area.

Answer:

(2x+5)(x−2)=2x²+x−10

500

2(3x²−4x+5)−3(x²+2x−1)+(x−4)(x+2)

4x²−16x+5