Synthetic Division
Use synthetic division to find the remainder when x3+11x2+20x+7 is divided by x+1.
-3
If f(x)=x3−6x2+5x+12 and x+1 is a factor of f(x), then find all of the zeros of f(x) algebraically.
3,4,-1
Factor completely.
x3+3x2+25x+75
(x2+25)(x+3)
Find all real and imaginary solutions to the equation x3−5x2−3x+15=0
√3, -√3, 5
3*4
12
Use synthetic division to find the remainder when 2x3−4x2−x−9 is divided by x−3.
6
If f(x)=x3−5x2−2x+24 and x+2 is a factor of f(x)f(x), then find all of the zeros of f(x) algebraically.
-2, 4, 3
Factor completely.
x3+6x2−13x−78
(x2−13)(x+6)
Find all real and imaginary solutions to the equation. x3+7x2−x−7=0
-1, 1, -7
What planet is known as the red planet?
Mars
Use synthetic division to find the remainder when 4x4+11x3−19x2+9x+12 is divided by x+4.
If f(x)=x3−4x2−19x−14 and f(−1)=0, then find all of the zeros of f(x) algebraically.
-1, 7, -2
Factor completely.
9x3−54x2−x+6
(3x+1)(3x−1)(x−6)
Find all real and imaginary solutions to the equation. x3−4x2+4x−16=0
2i, -2i, 4
Which planet in our solar system spins the fastest on its axis, completing a full rotation in less than 10 hours?
Use synthetic division to find the remainder when x3+7x2−12x+14 is divided by x−1.
10
If f(x)=x3+7x2+7x−15 and x−1 is a factor of f(x), then find all of the zeros of f(x) algebraically.
1, -3, -5
Factor completely.
12x3+4x2−27x−9
(2x+3)(2x−3)(3x+1)
Find all real and imaginary solutions to the equation 3x3−5x2+75x−125=0
5i, -5i, 5/3
What is the only letter that doesn’t appear in any U.S. state name?
Q