Question

If m and n are the zeroes of the polynomial x2 + 5x + 6 then the value of m2n+ mn2

Answer 1

f(x) =x2+5x+6

Given that m and n are zeros of given polynomial


Here,

m+n= -5 mn=6

Now,

m2+n2

=(m+n)^2-2mn

=(-5)^2-2(6)

=25-12=13

Answer 2

Answer:

Step-by-step explanation:

x^2+5x+6 is the polynomial of the form ax^2+bx+c.

As, m and n are the zeroes of the given polynomial. Thus, m+n = -b/a= -5/1=-5.

And, mn=c/a=6/1=6.

ACCORDING TO QUESTION, m^2n+mn^2=mn(m+n) = 6(-5)=-30.