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) = ax2 +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) = ax2 +bx+ c has no zero, then its graph will not cut the x-axis at any point i.e.,
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