If `p(x) = 6x^3 + 5x^2 - 3x + 2` , find `p(-1)`

If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .

If p(x)=5x^(3)-6x^(2)+7x-6

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

If p(x)=x^(3)+2x^(2)-5x-6, " find "p(2), p(-1),p(-3)andp(0) . What do you conclude about the zeros of p(x) ? Is 0 a zero of p(x)?

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.

If p(x)=x^(3)-3x^(2)+2x , find p (0) , p(1) , p(2). What do you conclude?

Using remainder theorem, find the remainder when p(x) = x^(3)+ 3x^(2) - 5x+4 is divided by (x-2).