Polynomial Operations and Factoring

Addition and Subtraction

100

Simplify the following expression:

(2x+3)+(4+8x)

10x+7

200

Simplify the following expressions:

(3x²-2x)-(5-3x²)

6x²-2x-5

300

Simplify the following expressions:

(2x-2x²)+3x-(4+2x)

-2x²+3x-4

400

Simplify the following expressions:

-2x(x³ – 6x² + 6) + 4x⁴

2x⁴+12x³-12x

Distributing and Foil Method

100

3x(x²-2)

3x³-6x

200

2x²(4x³-2)

8x⁵-4x²

300

(x – 6)(x + 7)

x²+x-42

400

(x-4)(x²-3x+1)

x³-7x²-11x-4

Factoring with the GCF

100

35+70y

35(1+2y)

200

67x-134y

67(x-2y)

300

2x³-4x²+4x

2x(x²-2x+2)

400

5xy-10xy²+20x²y

5xy(1-2y+2x)

Difference of Squares

100

x²-100

(x-10)(x+10)

200

b²-a²

(b+a)(b-a)

300

36x²+49y²

(6x+7y)(6x-7y)

400

100x²y²+64w²

(10xy+8w)(10xy-8w)

Factoring Trinomials

100

x²-4x+4

(x+2)(x-2)

200

p²+13p+40

(p+5)(p+8)

300

y²-20y-96

(y-24)(y+4)

400

2m³+10m²+8m

2(m+4)(m+1)