DIVIDING POLYNOMIALS

SYNTHETIC/LONG DIVISION

100

(k² - 7k +10) divided by (k - 1)

k - 6 + 4/k - 1 

200

(a² - 28) divided by (a - 5)

a + 5 - 3/a - 5 

300

(42x² - 33) divided by (7x + 7)

6x - 6 + 9/7x+7

400

(8x³ + 64) divided by (2x + 3)

4x² - 6x + 9 + 37/2x+3

500

(2x⁴ + x² - 10x - 1) divided by (x + 2)

2x³ - 4x² + 9x - 28 + 55/x + 2

SYNTHETIC/LONG DIVISION

100

(r² + 14r +38) divided by (r + 8) 

r + 6 - 10/r+8

200

(2x² - 17x - 38) divided by (2x + 3)

x - 10 - 8/2x + 3 

300

(x³ - 7) divided by (x-3)

x² + 3x + 9 + 20/x - 3 

400

(n³ + 7n² + 14n + 3) divided by (n + 2)

n² + 5n + 4 - 5/n + 2

500

(x⁵ - 1) divided by (x + 1)

x⁴ - x³ + x² - x + 1 - 2/x + 1 

SYNTHETIC/LONG DIVISION

100

(x³ - 2) divided by (x + 3)

x² - 3x + 9 - 29/x + 3 

200

(m² - 7m - 11) divided by (m - 8)

m + 1 - 3/m - 8

300

(3x³ - 2x² + 7x + 9) divided by (x² - 3x)

1+ 10x +9/x² - 3x

400

(n² - n - 29) divided by (n - 6)

n + 5 + 1/n - 6 

500

(16x⁴ - 85) divided by (4x² + 9)

4x² - 9 - 4/4x² + 9

SYNTHETIC/LONG DIVISION

100

(-3x³ + x² - 2x + 1) divided by (x² - 2)

-3x + 1 + -8x + 3/x² - 2

200

(x² + 5x + 3) divided by (x + 6) 

x - 1 + 9/x + 6

300

(x³ + 5x² - x - 5) divided by (x - 1)

x² + 6x + 5 

400

(p³ - 10p² + 20p + 26) divided by (p - 5)

p² - 5p - 5 + 1/p - 5 

500

(42x² - 33) divided by (7x + 7)

6x - 6 + 9/7x+7

SYNTHETIC/LONG DIVISION

100

(2x⁴ - 6x² + 3) divided by (2x - 6)

x³ + 3x² + 6x + 18 + 111/2x-6

200

(x⁴ - 25x² + 144) divided by (x - 4)

x³ + 4x² - 9x - 36

300

(x³ + 9x² + 3x - 7) divided by (x + 5)

x² + 4x - 17 + 78/x + 5 

400

Factor: 27x³ + 125

(3x + 5) (9x² - 15x + 25)

500

Factor: 49x¹⁰ - 25y²

(7x⁵ + 5y)(7x⁵ - 5y)