● Polynomials consisting of 1, 2 and 3 degrees are known as linear, quadratic
and cubic polynomials.
2
● Quadratic Polynomial: A quadratic polynomial is of the form ax + bx +
c, with real coefficients, where a, b, c are real numbers with a not equal
to zero.
● Roots of a Quadratic Polynomial: A quadratic polynomial can have
maximum 2 zeros while a cubic polynomial can have 3.
● Sum of Roots of a Quadratic Polynomial:α +β = -b/a, where α and β are
2
the zeroes of the quadratic polynomial ax + bx + c.
● Product of roots of a quadratic polynomial: αβ=c/a. where α and β are the
2
zeroes of the quadratic polynomial ax + bx + c.
● Sum of Roots of a Cubic Polynomial: If the zeroes of the cubic polynomial
3 2
ax + bx + cx + d, are α, β, γ then, sum of its roots is: α + β + γ = -b/a And
product of its roots is: αβ+ βγ + γα = c/a, αβ γ = -d/a
and cubic polynomials.
2
● Quadratic Polynomial: A quadratic polynomial is of the form ax + bx +
c, with real coefficients, where a, b, c are real numbers with a not equal
to zero.
● Roots of a Quadratic Polynomial: A quadratic polynomial can have
maximum 2 zeros while a cubic polynomial can have 3.
● Sum of Roots of a Quadratic Polynomial:α +β = -b/a, where α and β are
2
the zeroes of the quadratic polynomial ax + bx + c.
● Product of roots of a quadratic polynomial: αβ=c/a. where α and β are the
2
zeroes of the quadratic polynomial ax + bx + c.
● Sum of Roots of a Cubic Polynomial: If the zeroes of the cubic polynomial
3 2
ax + bx + cx + d, are α, β, γ then, sum of its roots is: α + β + γ = -b/a And
product of its roots is: αβ+ βγ + γα = c/a, αβ γ = -d/a
