CATEGORY 1
An amount left over after division (happens when the first number does not divide exactly by the other).
Remainder
A method used for dividing large numbers into groups or parts. It helps in breaking the division problem into a sequence of easier steps.
Long Division
A shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor
Synthetic Division
It states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).
Remainder Theorem
BONUS QUESTION : Where are office hours located?
ELCTR 112
If p(y) = y3 + y2 - 2y + 1, using Remainder Theorem, find the remainder, when p(y) is divided by (y – 3), find the value of p(a).
A. 32, a4 + a2 - 3a + 1 B. 31, a3 + a2 - 2a + 1
B. 31, a3 + a2 - 2a + 1
Find the remainder (without division) when x3 + 4x + 2 is divisible by x + 2.
A. -14 B. 14
A. -14
BONUS QUESTION : When is the last day of classes?
May 1st
If the polynomials ax3 + 4x2 + 3x – 4 and x3 - 4x + a leave the same remainder when divided by (x - 3), find the value of a.
A. 1 B. -1
B. -1
Find the remainder when x2 + 3x – 11 is divided by x – 2.
A. -1 B. 0
A. -1
Find the remainder (without division) when 2x3 - 3x2 + 7x - 8 is divided by x - 1.
A. 0 B. -2
B. -2
BONUS QUESTION : Who is the President of UTRGV?
Guy Bailey
Find the remainder when 4x3 – 5x + 1 is divided by x – 2.
A. 22 B. 23
B. 23
Find the value of k if the remainder is -3 when kx3 + 8x2 - 4x + 10 is divided by x +1.
A. 5 B. 25
B. 25
Find the remainder when 3x2 – 2x + 2 is divided by x + 1.
A. -7 B. 7
B. 7
Find the remainder (without division) when x2 - 2x + 4 is divided by x - 1.
A. 5 B. 3
B. 3
Find the remainder (without division) when 4x3 - 3x2 + 5x + 4 is divided by 2x + 1.
A. 1/4 B/ 1/2
A. 1/4
What number should be subtracted from 3x2 + 5x so that the resulting polynomial leaves the remainder 1 when divided by 2x + 5?
A. 4/21 B. 21/4
B. 21/4
BONUS QUESTION : When does PLTL session start?
5:00
Find the remainder when 3x3 + x2 – 4x – 1 is divided by x – 2.
A. 19 B.10
A. 19
BONUS QUESTION : What is the name of your Professor?
Victor Villalpando
Find the remainder (without division) when 4x3 + 5x2 + 6x - 7 is divided by 2x - 1.
A. -12/6 B. -9/4
B. -9/4
Use the Remainder Theorem, find the remainder when x6 + 3x2 + 10 is divided by x - 2.
A. 86 B. 87
A. 86
If both ax3 + 2x2 - 3 and x2 - ax + 4 leave the same remainder when divided by x - 2, find a.
A. 10 B. 3/10
B. 3/10
Find the remainder when x4 – 2x – x2 + 2x – 2 is divided by x – 4.
A. 118 B. -118
A. 118