Factoring Polynomials
Factor the polynomial:
x3+7x2+10x
x(x+5)(x+2)
Use Synthetic Division to divide the following equation:
(x2-3x-40)/ (x+5)
x-8
Divide the polynomial by long division.
(3x2+7x-20) / (x+4)
3x-5
Simplify
sqrt(-400)
20,-20
Find all zeroes.
f(x) = x(x+3)(2x - 4)2
x = 0
x = -3
x = 2 mult. of 2
Factor the polynomial:
9x3+6x2-3x
3x(3x-1)(x+1)
Use Synthetic Division to solve the following equation:
(x3+3x2-x+2)/(x-1)
x2+4x+3, R:5
Use Long Division to solve the following equation:
2x3-3x2-18x-8) / (x-4)
2x2+5x+2
Add/Subtract
(4-5i)-(2-3i)
2-2i
Is (x-2) a factor of 2x2 -20x + 67?
No, it has a remainder
Factor the polynomial and find the zeros:
3x3+12x2-3x=12
x=-4,-1,1
Use Synthetic Division to solve the following equation:
(x3+27) / (x+3)
x2-3x+9
Use Long Division to solve the following equation:
(x2-7x+10)/ (x+3)
x-10, R:40
multiply
(3+2i)(-3+4i)
-17+6i
Is (2x+7) a factor of 2x3 + 5x2 - 19x -42 ?
Yes, no remainder left over
Factor the polynomial to find the zeros. You may need to use the quadratic equation.
12x3=60x2+75x
x=0, (5 +/- 5sqrt2) /2
Use Synthetic Division to solve the following equation:
(x4+3x3+x+4) / (x+3)
x3-3x2+12x-35, R:109
Use Long Division to solve the following equation:
(x3+5x2-3x-1) / (x-1)
x2+6x+3, R:2
Divide
(3+2i)/(4-3i)
(6+17i)/25
Is (x-1) a factor of x3 + 4x2 -16x + 8
No, there is a remainder
Factor the polynomial to find the zeros.
x3+1=x2+x
x=-1,1
Use Synthetic Division to solve the following equation:
(x5+1) / (x+1)
x4-x3+x2-x+1
Use Long Division to solve the following equation:
(2x2+x-7) / (x-5)
2x+11, R:48
Solve the polynomial: (you will get a complex number solution)
x3+x2+x+1=0
x=-1,+/-i
Is (x-1) a factor of (x3 + 2x - 3) ?
yes! If you divide, it has remainder 0