Algebraic identities part 4

Algebraic Expressions and Polynomials

Which sequence of steps correctly gives the value of 4^((3)/(2)) and algebraically justifies the values?

Prove that "The Algebraic Sum of deviations from Mean is zero".

Prove the following identities: cot^4A-1=cos e c^4A-2cos e c^2A

Identify which of the following algebraic expressions are polynomials. If so, write their degrees. 2-z^(3)+3xy+(1)/(2)x^(4)

Identify which of the following algebraic expressions are polynomials. If so, write their degrees. (2)/(3)x^(2)-(5)/(7)x-(1)/(4)

Identify which of the following algebraic expressions are polynomials. If so, write their degrees. (2)/(3)x^(3)-(5)/(4)x-7

Write the algebraic expressions for the following. A number x multiplied by 4 and added to 14.

A particle is projected with velocity 'u' makes an angle theta w.r.t. horizontal. Now it breaks in two identical parts at highest point of trajectory. If one part is retrace its path, then velocity of other part is -

Write the algebraic expressions for the following. A number p is multiplied by (3)/(4) and the product is subtracted from 18.