Operations with Polynomials
Quadratically Structured Factoring
Other Factoring
Sum and Difference of Cubes
Zeros and Roots of Polynomials
100

Multiply the Polynomials:

(x - 3)(x + 2)

x2 - x - 6

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:
x3 + 8

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

100

Find the zeros/roots of the polynomial:

f(x) = (x+5)(3x-4)

x=-5 and 4/3

200

Multiply the Polynomials:

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

12n2 + 13n - 4

200

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

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

200

The result of factoring:
x4 + 8x2 + 12 

What is
(x2 + 2)(x2 + 6)?

200

The result of factoring:
8x3 − 27

(2x − 3)(4x2 + 6x + 9)

200

Find the zeros of the polynomial: 

y= (x+ 4)(x- 6)

x= 2i, -2i, 

 sqrt6, -sqrt6 

300

Multiply the Polynomials.

(2x - 6)2

4x2 - 24x + 36

300

The result of factoring:
4x3 + 24x2 + 32x

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

300

To factor the polynomial: 

y=3x^3-7x^2+21x-49

(x^2+7)(3x-7)

300

The result of factoring:
8x3 + 64

(2x+4)(4x2-8x+16)

300

Determine the real and complex zeros of the function: 

f(x)=8x^3-125

x= 

5/2, (10+-10isqrt3)/8

400

Multiply the Polynomials:

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

2x3+5x2-17x+40

400

The results of factoring:
8x5 + 18x3 + 9x

What is
x(4x2 + 3)(2x2 + 3)?

400

The result of factoring:
81x- 49

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

400

The result of factoring:
27x3 − 125

(3x − 5)(9x2 + 15x + 25)

400

What are the zeros of the function: 

y=-x^3+4x2-6x+24

x= 4, +-isqrt6

500

Multiply the Polynomials:

(x - 1)(−8x2 − 6x − 12 )

-8x3 + 2x2 - 6x + 12

500

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

What is
(4x - 1)2?

500

The result of factoring:
x4 - 6x3 + 8x2- 48x

What is
(x - 6)(x3+8x)

or: x(x-6)(x2+8)

500

What is the real zero you get from:
y= 125x3 + 216

x= -6/5

500

Find the zeros and roots of: x4 - 6x3 + 8x2- 48x

x= 0, 6

+-isqrt8

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