Question 24

Consider the set $$F$$ of all polynomials whose coefficients are in the set of $$\{0, 1\}$$. Let $$q(x) = x^3 + x + 1$$. The number of polynomials $$p(x)$$ in $$F$$ of degree $$14$$ such that the product $$p(x)q(x)$$ is also in $$F$$ is:

Correct Answer: 50

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

Phone Number

Preferred Time