Question

relationship between zeros and co-efficient.​

Answer 1

A Quadratic polynomial has two zeroes.Generally they are denoted by alpha and beta.......

1. If alpha and beta are the zeroes of polynomial p(x) = ax^2 + bx + c where a os not equal to 0 , then

• Sum of zeros is
• $\frac{ - co \: efficient \: of \: x}{co \: efficient \: of \: {x}^{2} } \\ \alpha + \beta = \frac{ - b}{a}$
• Product of zeroes is
• $\frac{constant \: term \: }{co \: efficient \: of {x}^{2} } \\ \alpha \beta = \frac{c}{a}$

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