Polynomials

Characteristics of Polynomials

100

How many terms does the expression have?

4x²+18x+8

3 terms.

4x²

18x

8

200

Polynomial or binomial?

5x³-x²

Binomial.

300

Write this polynomial in standard/final form:

3x-4x³+8x²-21

-4x³+8x²+3x-21

400

Polynomial or monomial?

-2x⁵

Monomial.

500

What's the degree of this polynomial?

6x⁴-2x³+12x²-6x

4th degree.

Adding Polynomials

100

Find the sum: (3x+4)+(7x+2)

What is 10x+6

200

Find the sum: (2x²+8x+4)+(x²-3x-2)

What is 3x²+5x+2

300

Find the sum: (4x²+5x+1)+(-2x²+7)

What is 2x²+5x+8

400

Find the sum: (12x³+4x²+7x+8)+(2x³-5x²+2x-10)

What is 14x³-x²+9x-2

500

Find the sum: (5x⁴+3x³-x²+2x+4)+(x⁴-6x³-2x²+6x+7)

What is 6x⁴-3x³-3x²+8x+11

Subtracting Polynomials

100

Find the difference: (6x²+2x+4)-(3x²+x+2)

What is 3x²+x+2

200

Find the difference: (5x²-4x-7)-(2x-9)

What is 5x²-6x+2

300

Find the difference: (4x²+6x+3)-(2x²+2x+2)

What is 2x²+4x+1

400

Find the difference: (7x²-2x+6)-(2x²-5x+4)

What is 5x²+3x+2

500

Find the difference: (2x³-3x²-3x+5)-(x³+2x²-4x+2)

What is x³-5x²+x+3

Multiplying Polynomials

100

Find the product: (x+2)(x+4)

x²+6x+8

200

Find the product: (2x-6)(3x-2)

6x²-22x+12

300

Find the product: (4x+2)(x+5)

4x²+22x+10

400

Find the product: 5x³(3x²+9x-14)

15x⁵+45x⁴-70x³

500

Find the product: 3x³(2x²-10x+11)

6x⁵-30x⁴+33x³

Factoring Polynomials

100

Factor: 6x³-54x

6x(x²-9)

200

Factor: 8x⁵-24x³+56x

8x(x⁴-3x²+7)

300

Factor: x²+4x-21

(x-3)(x+7)

400

Factor: 5x²+19x+12

(x+3)(5x+4)

500

Factor: 12x³-28x²-15x+35

(4x²-5)(3x-7)