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`x^(2)-2(p^(2)-2q)x+p^(2)(p^(2)-4q)=0`**What is Real polynomial, complex polynomial and degree of a polynomial?**

**What is Polynomial equation, Roots of an equation & Solution set of an equation ?**

**State Fundamental theorem of algebra**

**State Geometrical meaning of roots of equation**

**Draw the Graph of Polynomial when polynomial function is in standard form `f(x)=a_nx^n+a_(n-1)x^(n-1)+............a_1x+a_0` - (i)Leading coefficient is positive (ii)Leading cofficient is negative**

**Draw the Graph of the Polynomial when roots of the polynomial is given .**

**Role of domain and solution with examples :: Refer-Cengage 2.4 :: Refer-Miscellaneous**

**Solve (i)`sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1` (ii)Solve `(x^2-5x+7)^2-(x-2)(x-3)=1`**

**Solve `(i)(x-1)^4+(x-5)^4=82` (ii)`12x^4-56x^3+89x^2-56x+12=0`**

**What is Remainder Theorem and Explain this by giving example ?**