Review - Topic 2

Degrees, Adding, and Subtracting

100

The degree of trinomial 3x²y+2xy-10y

3

200

The degree of the monomial 2xy

2

300

Simplified form of (5x-1)+(2x-3).

7x-4

400

The difference between (2x²-4x-1)-(3x²+8x-4)

-x²-12x+3

500

Standard form of 3x+2x²-4x+3x²-5x

5x²-6x

Multiplying

100

-y(-3y²+2y-7)

3y³-2y²+7y

200

The product of (x+7)(x-5)

x²+2x-35

300

The product of (x+4)(x²-3x-1)

x³+x²-13x-4

400

The volume of a cube by multiplying the length, width, and height of (3x-1)

27x³-27x²+9x-1

500

A portrait without its frame has a height 2.5 times its width w, in inches. Its frame is 2 in. wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w?

2.5w²+14w+16

Special Cases

100

The product in standard form for (b+12)²

b²+24b+144

200

The product of (6x+9)(6x-9)

36x²-81

300

Factor x²+10x+25

(x+5)²

400

4x²-56x+196

4(x-7)²

500

x²-121

(x+11)(x-11)

Factoring a = 1

100

GCF of  49a⁵b³-14a²b²+35ab in factored form.

7ab(7a⁴b²-2ab+5)

200

Factored form of the trinomial x²+12x+32

(x+8)(x+4)

300

Factored form of x²-13x-48

(x+3)(x-16)

400

Prime factors of 140

2*2*5*7

500

x²+18xy+45y²

(x+3y)(x+15y)

Factoring "a" does not equal 1

100

The GCF of 6y⁵-42y³+18y

6y

200

3x²+10x+8

(3x+4)(x+2)

300

10x²+3x-4

(5x+4)(2x-1)

400

4x²-3x-10

(4x+5)(x-2)

500

A rectangular patio has an area of 2x²+13x-24 ft². What are possible dimensions of the patio.

2x by (2x+1) by (x+2)