Polynomial and rational functions
... Division Algorithm: If a polynomial P(x) is divided by a nonzero polynomial d(x), then there is a quotient q(x) and a remainder polynomial r(x) such that P(x)=d(x)q(x) + r(x). The Remainder Theorem: If a polynomial P(x) is divided by x-c, then the remainder is P(c). The Factor Theorem: the number c ...
... Division Algorithm: If a polynomial P(x) is divided by a nonzero polynomial d(x), then there is a quotient q(x) and a remainder polynomial r(x) such that P(x)=d(x)q(x) + r(x). The Remainder Theorem: If a polynomial P(x) is divided by x-c, then the remainder is P(c). The Factor Theorem: the number c ...
Decimals Packet
... column on its right, with the rightmost column being 1. To understand the idea behind decimal numbers, we notice that moving in the opposite direction, from left to right, we divide by 10 each time. If we are at the ones column and go to the right the next column would have to be ...
... column on its right, with the rightmost column being 1. To understand the idea behind decimal numbers, we notice that moving in the opposite direction, from left to right, we divide by 10 each time. If we are at the ones column and go to the right the next column would have to be ...
Worksheet 12 MATH 3283W Fall 2012 1. Show that the sequence a
... 1. Show that the sequence an = sin(sin(. . . sin(1))) converges and find its limit. ...
... 1. Show that the sequence an = sin(sin(. . . sin(1))) converges and find its limit. ...
FP3: Complex Numbers - Schoolworkout.co.uk
... This result applies for any positive or negative power n. Note: We will be able to prove this result more formally next lesson. Example: z 3 i . a) Find z 2 and z3 . b) Find z8 and z 3 Solution: First write z in modulus-argument form: ...
... This result applies for any positive or negative power n. Note: We will be able to prove this result more formally next lesson. Example: z 3 i . a) Find z 2 and z3 . b) Find z8 and z 3 Solution: First write z in modulus-argument form: ...
Year 6 Week 1 - Pearson Schools and FE Colleges
... between 24 and 360. Cover those with Post-it notes with the numbers being multiplied by 8 (3–45). Chn work to fill in their grids by multiplying the Post-it note numbers by 8 (2 × 2 × 2). Reveal answers! Know addition pairs that total 100. Pairs write 5 numbers from 1–10. Select a 10–99 card & read ...
... between 24 and 360. Cover those with Post-it notes with the numbers being multiplied by 8 (3–45). Chn work to fill in their grids by multiplying the Post-it note numbers by 8 (2 × 2 × 2). Reveal answers! Know addition pairs that total 100. Pairs write 5 numbers from 1–10. Select a 10–99 card & read ...
election problem
... In answering this question, we note that we are selecting 3 persons in order from a group of 6 people. If an arbitrary finite set S has n elements and r elements are selected without repetition from S (where r n ), then an arrangement of the r selected elements is called a permutation. ...
... In answering this question, we note that we are selecting 3 persons in order from a group of 6 people. If an arbitrary finite set S has n elements and r elements are selected without repetition from S (where r n ), then an arrangement of the r selected elements is called a permutation. ...
THE SIZE OF PRIME
... These numbers play no significant role in number theory, they are not mentioned in the textbooks that I own, and I can’t find the original reference to them. I can only assume that some work was done by J. Cullen early in this century when he was writing papers. I became acquainted with Cullen numbe ...
... These numbers play no significant role in number theory, they are not mentioned in the textbooks that I own, and I can’t find the original reference to them. I can only assume that some work was done by J. Cullen early in this century when he was writing papers. I became acquainted with Cullen numbe ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.