- A3
- B2
- C5
- D4
Step-by-Step Solution
Remainder = p(1) = 1 + m + 6 = m + 7. For m = 1..5: 8, 9, 10, 11, 12. Even ones: 8 (m=1), 10 (m=3), 12 (m=5). That is 3 values.
Answer: A) 3
Consider all polynomials of the form where is an integer.
For how many integer values of in the range 1 to 5 (inclusive) is the remainder on division by an even number?
Class 9Remainder TheoremPolynomials
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Remainder Theorem practice questions
More Class 9 Remainder Theorem practice
On a number line a student marks where each linear divisor (x - a) is zero for the…A polynomial p(x) = x^3 + ax + b leaves remainder 2 on division by (x - 1) and remainder…Final challenge: p(x) = 2x^3 + 3x^2 - 11x - 6. A student finds the remainders on…By the Remainder Theorem, the remainder when a polynomial p(x) is divided by (x - a)…Find the remainder when p(x) = 4x^3 - 12x^2 + 14x - 3 is divided by (2x - 1).