Question

2) A quadratic polynomial in 'p' having sum and product of zeroes as 3 and - 7 respectively is ________

Answer 1

EXPLANATION

sum of roots = a + b= 3

product of roots = ab = -7

FORMULA OF QUADRATIC POLYNOMIAL

X^2 - (a + b)x + ab

x^2 - 3x - 7 = 0

RELATED FORMULA

quadratic polynomial equation

x^2 - ( a + b) x + ab

sum of roots of equation = -b/a

product of roots of equation = c/a

cubic Polynomial equation

x^3 - (a + b + c) x^2 + (ab + bc + ca)x - abc

=> a + b + c = -b/a

=> ab + bc +ca = c/a

=> abc = -d/a