Polynomial Division (any method)
Divide the following Polynomial: (6x2 + 13x - 9) / (2x+5)
3x-1 with remainder -4
Use long division to divide: (9x2 - 92x + 23) / (x - 10)
9x - 2 with a remainder of 3
Use the box method to divide:
(x2-3x-40)/ (x+5)
x-8
Extra points!!!!!
200 points
An extra turn
100 points
Divide x3 + 3x2 + 3x -1 by x2 + x + 1
x+2 with remainder -3
Use long division to find: (6x2 + 14x - 41)/(x + 4)
6x-10 with a remainder of -1
Use the Box Method to divide: (x2 +5x - 14) / (x-2)
x+7
Suppose you know that f(x) is a polynomial, and f(-5)=0. What is one factor of f(x)?
x+5
Let f(x) = x2 + 3x - 4. Find the remainders when f(x) is divided by x-2 and by x+2.
Remainder for division by x-2: 6
Remainder for division by x+2: -6
(3x3 - 12x2 + 1) / (x - 4)
3x2 + 1/(x - 4)
Use long division to divide: (3x2 -21x + 21) / (x-6)
3x-3 with a remainder of 3
Use the box method to solve:
(x3+5x2-3x-1) / (x-1)
x2+6x+3, R:2
f(x)=x^3 + 3x^2 - x - 3. What is f(0)? What is f(1)?
f(0) = -3. f(1) = 0.
Let f(x) = x5 + x4 + x3 + x2 + x + 1. What are the remainders when f(x) is divided by x-1 and by x+1?
Remainder for division by x-1: 6
Remainder for division by x+1: 0
Divide the following Polynomials: (9x3 + 6x2 - 10x - 2) / (3x2 + 4x - 1)
3x - 2 with remainder x - 4
Use long division to divide 6x3+5x2+3x-1 by 3x2+x+1
2x+1 with remainder -2
Use the box method to solve:
(x4+3x3+x+4) / (x+3)
x3 + 1, R 1
What does it mean for our dividend and divisor when we have a remainder of 0?
When there is a remainder of 0, the divisor is a factor of the dividend.
An extra point
400 points
Divide x4 + 2x3 + x2 +3x + 6 by x+2
x3 + x + 1 with remainder 4
Use long division to solve: (54x3 +75x2 + 32x + 28) / (6x+7)
9x2 + 2x + 3 with a remainder of 7
Use the box method to divide 10x3 - 17x2 + 4x +4 by 5x2 - x -1
2x-3 with remainder 3x+1
Let f(x) = x^3-6x^2+11x-6. Find f(-1) and f(1).
f(-1) = -24, f(1) = 0
Let f(x) = x4 - 4x3 + 1. Find the remainder of f(x) divided by x-2, x, and x+2.
x-2: remainder = -15
x: remainder = 1
x+2: remainder = 49