Unit 2: Operations with Polynomials

Adding Polynomials

100

The sum of (4x²+2x) + (2x³+x²+4) 

What is 2x³+5x²2x+4 ?

300

The sum of (9x³+15x²+1) + (6x²+2x²+3)

What is 9x³+23x²+4 ?

400

The sum of (5x⁴+3x²+2x+9x³+4) + (6x³+4x²+11x-3)

What is 5x⁴+15x³+7x²+13x+1?

Subtracting Polynomials

100

The difference of (3x²-2x)-(x+3)

What is 3x²-3x-3 ?

200

The Difference of (9x³+4x²-1)-(6x+3)

What is 9x³+4x²-6x-4 ?

500

The difference of (10x⁶-3x²+2x⁴-5x⁵-3) - (3x²+2x⁵-1)

What is (10x⁶-7x⁵+2x⁴-6x²-2) ?

Multiplying Polynomials

100

The Product of  (4x²-3)(2x-1)

What is 8x³-4x²-6x+3 ?

200

The product of (3x⁷+4)(2x¹¹-3)

What is 6x¹⁸+8x¹¹-9x⁷-12 ?

500

The product of (4x⁷+3-2x)(2x³-1)

What is 8x¹⁰-4x⁷+2x³+2x-3 ?

Dividing Polynomials

100

The difference of (3x²-2) / (x+2)

What is 3x-6+(10/x+2) ?

200

The difference of (8x+4) / (x-6)

What is 8+(52/x-6) ?

300

The quotient of (x³-2x²-2x+3) / (x-3)

What is x²+x+1+(6/x-3) ?

Binomial Expansion

100

(x+y)³ expressed in binomial expansion?

What is x³+3x²y+3xy²+y³ ?

200

 (x+3)⁴ expressed in binomial expansion?

What is x⁴ +12x³+54x²+108x+81?

300

(4x²-3)³ expressed in binomial expansion?

What is 64x⁶-144x⁴+108x²-27 ?