STUDYECART Divisibility Rules Quiz
60s
Divisibility Rules Quiz
Test your ability to quickly identify divisible numbers from 2 to 13
25 Questions
With math formulas
Timed
60s per question
Math Ready
Perfect formula rendering
Why Remainder Theorem Matters
Mastering remainder theorem is crucial for:
- Polynomial Factorization: $f(a)=0 ⇒ (x-a)$ is a factor
- Competitive Exams: Frequently tested in JEE, SAT, and Olympiads
Remainder Theorem Example
Problem: Find remainder when $f(x) = 3x^5 - 2x^3 + x^2 - 7$ is divided by $(x-2)$
Step 1: Identify $a=2$ from $(x-a)$
Step 2: Compute $f(2) = 3(32) - 2(8) + 4 - 7$
Answer: $$\boxed{77}$$
Keep Practicing Remainder Theorem
Regular practice helps with:
- Fast polynomial evaluation
- Modular arithmetic problems
1. Find remainder of $(x^{100} + 2x^{51} - 3) ÷ (x^2 - 1)$
2. Solve for $k$ if $(x+2)$ divides $2x^3 - 5x^2 + x + k$
Explore Check all Arithmetic & Reasoning Mock Tests for all your competitive exams preparation.
Disclaimer: These examples demonstrate patterns. Always verify critical calculations.
