##### CHAPTER AT A GLANCE

**1. Standard Forms of Linear, Quadratic and Cubic Polynomial**

The value of a polynomial f(x) at x = a is obtained by substituting x = a in the given polynomial and is denoted by f( a).

**Linear Polynomial:**

ax+b, where a, bare real numbers and a cf. 0.

**Quadratic Polynomial:**

ax2 +bx+ c, where a, b, care real numbers & a cf. 0.

**Cubic Polynomials:**

ax3 + bx2 + cd + d, where a, b, c, dare real numbers and a cf. 0.

**2. Value of a Polynomial**

The value of a polynomial f(x) at x = a is obtained by substituting x = a in the given polynomial and is denoted by f( a).

**3. Zero(es)/Root (s) of Polynomial**

x = r is a zero of a polynomial p(x) if p(r) = 0.

**4. Cases of Quadratic Polynomial****Case-I: **If a quadratic polynomial P(x) = ax2 +bx+ c has two zeros, then its graph will cut the x-axis at two distinct points A& B i.e.,

**Case-II: **If a quadratic polynomial P(x) = ax^{2} +bx+ c has only one zero, then its graph will cut the x-axis at only one point A i.e.,

**Case-III: **Ifa quadratic polynomial P(x) = ax^{2} +bx+ c has no zero, then its graph will not cut the x-axis at any point i.e.,

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