Division of Polynomial by Binomial

Can (x-2) be the remainder on division of a polynomial p(x) by (2x+3)? Justify your answer.

A binomial is

Using division of polynomials state whether x+6\ i s\ factor \ of\ x^2-x-42

State Division algorithm for polynomials

Classify into monomials, binomials and trinomials. 3a-5b

Classify into monomials, binomials and trinomials. 4x-5

State division algorithm for polynomials.

Give an example of a polynomial which is neither monomial, nor binomial nor trinomial and nor any multinomial.

write whether the following statements are true or false , justify Your answer. (i) A binomial can have atmost two terms. (ii) Every polynomial is a Binomial . (iii) A binomial may have degree 5. (iv) zero of a polynomial is always 0. (V) A polynomial cannot have more then one zero. (vi ) the degree of the sum of tum polynomals each of degree 5 is wlways . 5