Maths

This relationship allows us to determine properties of a polynomial without fully solving it. It is useful in factoring polynomials, solving equations, and understanding the behavior of polynomial functions in graphing and analysis.

For a linear polynomial p(x) = ax + b, the zero is: x = -b/a

Yes, in a cubic polynomial p(x) = ax³ + bx² + cx + d, the sum of the products of zeroes taken two at a time is: αβ + βγ + γα = c/a

For a cubic polynomial p(x) = ax³ + bx² + cx + d, the product of the zeroes α, β, and γ is given by: αβγ = -d/a

For a cubic polynomial p(x) = ax³ + bx² + cx + d, if α, β, and γ are the zeroes, then: α + β + γ = -b/a This is the sum of zeroes expressed in terms of the coefficients of x³ and x².

For a quadratic polynomial p(x) = ax² + bx + c, if α and β are the zeroes, then: α + β = -b/a and αβ = c/a where α + β represents the sum of zeroes, and αβ represents the product of zeroes.