Polynomial Practice

Adding

100

Add the polynomials:

(x+5)+(3x+9)

4x + 14

200

Add the polynomials:

(3x²+4x)+(2x²-3x)

5x²+x

300

Add the polynomials:

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

Add the polynomials:

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

Add the polynomials:

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

Subtracting

100

Subtract the polynomials:

(7x+4)-(5x+8)

2x-4

200

Subtract the polynomials:

(6x²+4)-(3x²+5)

3x²-1

300

Subtract the polynomials:

(2x-4)-2(4x-2)

-6x

400

Subtract the polynomials:

(6x²-5x+8)-(4x²-7x+9)

2x²+2x-1

500

Subtract the polynomials:

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15

Multiplying

100

Find the product:

(3x+1)(2x+3)

6x²+12x+3

200

Find the product:

(2x-5)(3x+2)

6x²-4x-10

300

Find the product:

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

Find the product:

(8a+3b)²  

^{Hint: (8a+3b)(8a+3b)}

64a²+48ab+9b²

500

Find the product:

(2r-3)(r²-5r+1)

2r³-13r²+17r-3

Standard Form

100

Write the polynomial in standard form:

2x + x²

x² + 2x

200

Write the polynomial in standard form:

-3x² - x + 4 + 2x³

2x³ - 3x² - x + 4

300

Write the polynomial in standard form:

-x + x² - 4 + 5x² 

6x² - x - 4

400

Write the polynomial in standard form:

57x + 3x²

3x² + 57x

500

Write the polynomial in standard form:

9x - 12x + x² + x³ - x² + 4x³

5x³ - 3x

Combing Like Terms

100

Simplify the expression:

−6k + 7k

k

200

Simplify the expression:

n − 10 + 9n − 3

10n − 13

300

Simply the expression: 

12r + 5 + 3r − 5

15r

400

Simplify the expression:

−16n − 14n

−30n

500

Simplify the expression:

−5n + 3(6 + 7n)

16n + 18