Question

Find the quadratic polynomial whose zeroes are 1 and -3.verify the relation between the coefficients and the zeroes and its coefficient

Answer 1

Step-by-step explanation:

general quadratic equation is

${x}^{2} - (p + q)x + pq = 0$

where p and q are roots of the equation

hence equation is

${x}^{2} - 2x - 3 = 0$

sum of the roots = -(coeffecient of x)/coefficient of x^2

product of the roots =constant term/coefficient of x^2