Question

Write the Relationship between the zeroes and coefficients of -

a) Quadratic polynomial b) Cubic polynomial.​

Answer 1

Answer:

general form of quadratic equations is ax2+bx+c where a is not= 0.product of 0=ca,ca=constant term coefficient of x2. General form of cubic polynomial of az3+bx2+cx+d where a is not equal to 0.there are 3 zeros of cubic polynomial.

Answer 2

Answer:

Step-by-step explanation:

To understand "relationship between zeros and coefficients of a quadratic polynomial",  let us consider the quadratic polynomial.  

P(x) = ax^2 + bx + c

The basic relationships between the zeros and the coefficients of

P(x) = ax² + bx + c are;      

sum of zeroes :-b/a = negative coefficient of x/coefficient/coefficient of x^2

product of zeroes: c/a= constant term /coefficient of  x^2

to understand the relationship between zeroes and coefficients of a cubic polynomial lets consider

P(x)=ax^3 +bx^2 + cx + d with xeroes α,βand γ(gamma)

sum of zeros= -b/a = negative coefficient of x^2/coefficient of x^3

product of zeroes :-d/a= negative constant term/ coefficient x^3

αβ +βγ + γα: c/a=  coefficient of x /coeffiecient of x^3

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