Review of Chapter 6

Adding and Subtracting Polynomials

100

Perform the operation.

(x+2) + (x-1)

2x-1

200

Perform the operation. 

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

-x+1

300

Perform the operation.

(x²-5x+6) + (3x²-8x-2)

4x²-13x+4

400

Perform the operation. 

(-7x²-6x+9) + (-3x²-x+7)

-10x²-7x+16

500

Perform the operation. 

(4c+3d)-(6c-6d)-(3c-5d)

-5c+14d

Multiplying Polynomials

100

Simplify the expression. 

(4x-1)(x²+3x-4)

4x³+11x²-19x+4

200

Simplify the expression. 

(x-2)(-3x²+3x+8)

-3x³+9x²+2x-16

300

Simplify the expression. 

(4x-3)(-2x²-7x-5)

-8x³-22x²+x+15

400

Simplify the expression.

(x²-x-2)(x²-2x-9)

x⁴-3x³-9x²+13x+18

500

Simplify the expression. 

(6x²-3x+4)(2x²+5x-6)

12x⁴+24x³-43x²+38x-24

The Binomial Theorem

100

Find the 2rd term in (x+y)³.

3x²y

200

Find the 5th term in (x+y)⁴.

y⁴

300

Find the 3rd term in (x+y)⁵.

10x³y²

400

Find the 3rd term in (3x-5y)⁵.

6750x³y²

500

Find the 2nd term in the expansion (x+3y)⁷.

21x⁶y¹

Dividing Polynomials

100

Divide the following two polynomials:

(x²-x-6) / (x-3)

(x+2) R:0

200

Divide the following two polynomials: 

(6x²+7x-20) / (2x+5)

3x-4 R:0

300

Divide the following two polynomials: 

(2x³+14x²-4x-48) / (2x+4)

x²+5x-12 R:0

400

Divide the following two polynomials: 

(2x³-10x²+x-5) / (x-5)

2x²+1

500

Divide the following two polynomials: 

(2x⁴-4x²+7x+3) / (x+3)

2x³-6x²+14x-35 R:108