Question

If a and b are the zeroes of the polynomial x2+5x+6 then the value of a + b + ab is

Answer 1

Answer:

Step-by-step explanation:

Method 1:

Sum of zeroes = (-coefficient of x / coefficient of x²)= -5

So a+b = -5

Product of zeroes = (coefficient of constant term / coefficient of x²)= 6

So ab = 6

∴ a+b+ab = -5+6 = 1

Method 2:

x²+5x+6 = (x+3)(x+2)

Hence the zeroes are -3 and -2

-3-2+(-3)(-2) = -5+6 = 1