The number of cubic polynomials p(x) sat...

The number of cubic polynomials p(x) satisfying p(1)=2, p(2)=4, p(3)=6, p(4)=8 is

A

0

B

1

C

more than one but finitely many

D

infinitely many

AI Generated Solution

Similar Questions

Explore conceptually related problems

Find all polynomials p satisfying p(x+1)=p(x)+2x+1

The number of polynomials p:R to R satisfying p(0)=0,p(x) gtx^(2) for all x ne0 , and p''(0)=(1)/(2) is

A cubic polynomial p(x) is such that p(1)=1,p(2)=2,p(3)=3 and p(4)=5 then the value of p(6) is

Let P(x) be a cubic polynomial such that coefficient of x^(3) is 1;p(1)=1,p(2)=2,p(3)=3 then the value of p(4) is :

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(2) is

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(1) is

Find a zero of the polynomial : (i) p(x)=4x-3 (ii) p(x)=2x-2

The value of p satisfying log_(4)(3p-2)=log_((1)/(4))p is