Use Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i)p(x)=2x3+x2−2x−1,g(x)=x+1 (ii)p(x)=x3+3x2+3x+1,g(x)=x+2 (iii)p(x)=x3−4x2+x+6,g(x)=x−3

How do you find the Maclaurin series for tanx?

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

Find the arithmetic mean of the first ten odd natural numbers.

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr