Adding and Subtracting Polynomials
Multiplying Polynomials
Factoring when
a is 1
Factoring when
a is not 1
Difference of Squares
Perfect Square Trinomials
100

Add the Polynomials

(4x + 9) + (x - 4)

5x + 5

100

Multiply the Polynomials:

(x - 3)(x + 2)

x2 - x - 6

100

To factor the trinomial x2+8x+16 you find two numbers that add to 8 but multiply to this...

What is 16?

100

The result of factoring:
3x+ 20x + 12

What is
(3x+2)(x+6)?

100

The result of factoring:
x- 25

What is
(x - 5)(x + 5)?

100

The result of factoring:
x2 + 6x + 9

What is
(x+3)2?

200

Add the polynomials:

(x2 +3x + 5) + ( x2 +6x)

2x+ 9x + 5

200

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n2 + 13n - 4

200

The result of factoring:
x+ 8x + 12 

What is
(x + 2)(x + 6)?

200

The result of factoring:
3x2 - 19x - 14 

What is
(3x + 2)(x - 7)?

200

The result of factoring:
16x2 - 9

What is
(4x + 3)(4x - 3)?

200

The result of factoring:
x- 20x +100

What is
(x-10)2?

300

Subtract the Polynomials:

(2x2 - 3x +11 ) - (x2 -2x + 4)

x2 - x + 7

300

Multiply the Polynomials.

(2x - 6)2

4x2 - 24x + 36

300

The result of factoring:
x- 6x + 8

What is
(x - 4)(x - 2)?

300

The result of factoring:
16x2 - 8x + 1

What is
(4x - 1)2?

300

100x2-9

(10x-3)(10x+3)

300

The result of factoring:
9x2 + 6x + 1

What is
(3x+1)2?

400

Subtract the Polynomials:

(k2 + 6k3 -4) - (5k3 + 7k -3k2)

k3 + 4k2 -7k -4

400

Multiply the Polynomials:

(x+5)(2x2-5x+8)

2x3+5x2-17x+40

400

The result of factoring:
x- 10x - 24 

What is
(x - 12)(x + 2)?

400

The results of factoring:
8x2 + 18x + 9

What is
(4x + 3)(2x + 3)?

400

The result of factoring:
81x- 49

What is
(9x - 7)(9x + 7)?

400

The result of factoring:
25x2 + 80x + 64

What is
(5x+8)2?

500

Find the value of a to make this a true statement:

(-1 + x2 + ax) + (1 -ax + ax2) = 3x2

a = 2

500

Find the value of a to make this a true statement:

(x + a)(−8x2 − 6x − 12 ) = -8x3 + 2x2 - 6x + 12

a = -1

500

Find the value of a and b that makes this statement true
x+ ax + b = (x + 5) (x + 2) 

What is a = 7 and b = 10

500

The result of factoring:
4x2 + 24x + 32

What is
4(x + 2)(x + 4)?

500

The result of factoring:
2x- 200

What is

2(x - 10)(x + 10)?

500

The result of factoring:
4x2 - 10x + 25

not factorable

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