Question

if a and b are the zeroes if the polynomial such that a+b=-6 and ab=-4 then write the polynomial​

Answer 1

a + b = -6

ab= -4

formula for forming a quadratic  equation: x^2 + ( a+b)x + ab

= x^2 -6x-4

Answer 2

Appropriate Question :-

• if a and b are the zeroes of the polynomial such that a+b=-6 and ab=-4 then write the polynomial

Required Answer :-

• x² - 6x + 4.

Concept used here :-

• If S is the sum of roots of a quadratic polynomial and P is its product, the quadratic polynomial is given by x² - Sx + P.

• Here, S = 6 and P = 4.

Therefore, quadratic polynomial = x² - Sx + P

• ::=> x² - 6x + 4

Additional details :-

• The choice of variable is immaterial. I have chosen x, likewise, once could take it as y , t or anything else.

• Therefore, if we write the polynomial as y² - 6y + 4 , it is exactly same as x² - 6x + 4.