Question

What are the zeros of the polynomial function f(x)=x^2+5x+6?
A. x = -3 and x = -2
B. x = -1 and x = 6
C. x = -6 and x = 1
D. x = 2 and x = 3

Answer 1

Hey mate,

Just factorise the give expression by middle term split method,

0 = x^2 +2x +3x +6

0 = x(x+2) +3(x+2)

0 = (x+2)(x+3)

X = - 2,-3

So your answer is A)

Hope this helps you out!

Answer 2

x^2+5x+6
x2+3x+2x+6
taking common
x(x+3)+2(x+3)
x+3)andx+2
x+3=0
x = -3
x+2=0
x=-2
zeros are -3 and -2 answee