Polynomials In One Variable
If a polynomial has only one variable then it is called polynomial in one variable.
P(x) = 2x3 + 5x – 3 Cubic trinomial
Q(x) = 7x7 – 5x5 – 3x3 + x + 3 polynomial of degree 7
R(y) = y Linear, monomial
S(t) = t2 + 3 Quadratic Binomial
Note : General form of a polynomial in one variable x of degree ‘n’ is anxn + an–1xn–1 + an–2xn–2 + ….+ a2x2 + a1x + a0, an ≠ 0, where an, an–1,… a2, a1, a0 all are constants.
∴ for linear ax + b, a ≠ 0
for quadratic ax2 + bx + c, a ≠ 0
for cubic ax3 + bx2 + cx + d, a ≠ 0