+65-85483705

# Remainder Theorem

### Remainder Theorem (Question)

Determine the remainder of the function f(x) = 3x2 + 5x + 1 when it is divided by the following linear factor.

1. x + 1
2. x – 1
3. 3x – 1

Guide:

When a polynomial, f(x) is divided by a linear factor, (x-a), where a is equal to number. It will results a quotient q(x) with possible a reminder of r(x). The relationship between f(x), linear factor, quotient and the remainder can be written as follow.

• f(x) = Quotient * (1/Linear Factor) + Remainder

Since dividing f(x) by (x-a) will results a remainder of r(x). Thus,

• f(a) = Remainder

If f(a) = 0, then x-a is a factor of the function (factor theorem).

1. -1
2. 9
3. 3

## About Dr Loo - O-level & JC H2 math tutor

I am Dr Loo, a PhD holder with 8 years of teaching experience on secondary school and tertiary level specialize on mathematics and statistics. In addition, I also received teaching training under tertiary setting. Furthermore, I have published 5 research papers on international peer reviewed journals. If you are currently looking for secondary mathematics tuition or A-level math tuition in Singapore,​ I do provide O-level Math Tutoring & JC Math Tutoring (H1 Math Tuition Class & H2 Math Tuition Class).

Thus, for those who are looking for a JC Math Tutor (H1 Math tutor or H2 Math tutor) as well as O-level Math Tutor (E-math tutor or A-math tutor), you may contact me for my math tuition in Singapore. I can be contacted through SMS/Whatsapp/Telegram at +65-85483705.  