General Terms
An algebraic expression that consists of variables and coefficients.
POLYNOMIAL
Divide 20x by 5x.
4
Divide 2x² + 3x + 1 by x + 1
2x+1
The distance covered by a bike is given by the expression 2x2 + 6x - 20. The time taken by the bike to cover this distance is given by the expression x-2. Find an expression for the speed of the bike.
Hint: Speed = Distance/Time
2x+10
In this given binomial: 3x + 5
How do you call the "3" before the x?
NUMERICAL COEFFICIENT
Divide 50x5y2 by 10x4y2.
5x
Divide x² + 6x + 8 by x + 4.
x+2
The area of the rectangle is given by the polynomial expression 3x2 + 5x - 2 and its length is given by 3x - 1. Find the width of the rectangle.
x+2
A method for manually performing division of polynomials, with less writing and fewer calculations than long division.
SYNTHETIC DIVISION
Divide x3+ 5x2 – 3x + 4 by x2 + 1.
x+5 + (- 4x - 1 / x2 + 1)
Divide 2x3 −3x − 5 by x + 2.
2x2 - 4x + 5 - (15 / x + 2)
"Divide x3 + 2x - 3 by x3 + 3."
What is the dividend?
a. x3 + 2x - 3
b. x3 + 3
a. x3 + 2x - 3
Divide 2x2 - 5x + 2 by 2x - 1.
x - 2
Divide 2x3 + 13x2 - 14x + 4 by x + 3.
2x2 + 7x - 35 + (109 /x + 3)
TRUE or FALSE:
Synthetic division is a shortcut that can be used when the divisor is a trinomial in the form x – k
FALSE
Divide 3x5 + 4x3 - 5x + 8 by x2 + 3.
3x3 - 5x + (10x + 8 / x2 + 3)
Divide 29x – 6x² – 28 by 3x -4.
-6x + 21