Download Synthetic Division Examples(Part 2)

Synthetic Division Examples(Part 2)
Divide the following polynomials using synthetic
division. Then factor the remaining equations
completely. Show work!
1. (x3 – 3x2 – 58x -120) (x + 4)
2. (2x3 -19x2 + 45x – 18)  (x – 6)
3. (x3 – 5x2 – 16x + 80)  (x – 5)
4. (7x3 + 32x2 + 27x – 18)  (x + 3)
5. (x4 – 5x3 – 9x2 + 20x - 24)  (x – 3)
6. (2x4 + 9x3 + 4x2 -27x – 30)  (x + 2)
Synthetic Division Part 3 Examples
Divide using synthetic division. Then factor the
remaining equation completely AND SOLVE for
all zeroes. Show work!
Ex. (x3 - 18x2 + 101x - 180); 4
Ex. (6x3 + 31x2 + 34x - 15); -3
Ex. (16x3 - 96x2 - 9x + 54); 6
Ex. (2x4 + 7x3 - 23x2 - 28x + 60); -5
Algebra 2
Synthetic Division Practice(Part 2)
Divide the following polynomials using synthetic division. Then factor the
remaining equations completely. Show work!
1. (x3 - 3x2 - 25x + 75)  (x + 5)
2. (x3 + 2x2 - 75x - 216)  (x + 8)
3. (4x3 - 43x2 – 91x - 98)  (x - 7)
4. (4x3 - 24x2 – 9x + 54)  (x - 6)
5. (5x3 + 9x2 - 26x - 24)  (x + 3)
6. (x3 + 8x2 - 112x + 256)  (x – 4)
Algebra 2
Synthetic Division Practice(Part 3)
In each problem below, a polynomial is given with one of its zeroes. Use the
zero given to divide by synthetic division. THEN, factor the remaining
polynomial completely AND solve for all zeroes. Show work!
1. (x3 + 10x2 - 39x - 180) ; -3
2. (x3 - 19x2 + 118x - 240) ; 5
3. (3x3 + 7x2 – 32x - 48) ; -4
4. (6x3 - 67x2 + 186x - 77) ; 7
5. (7x3 + 68x2 - 164x – 48) ; -6
6. (49x3 - 98x2 - 9x + 18) ; 2
Warmup 9-14
Factor completely. Show work!
1.
x2 + 4x – 96
2. 6x2 - 19x + 8
3. x3 - 3x2 - 25x + 75 = 0