If m and n are the zeroes of the polynomial x2 + 5x + 6 then the value of m2n+ mn2
choco64:
but the options given are a.5/6 b.11/30 c.6/5 d.-5/6
Answers
Answered by
5
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
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
Answered by
1
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.
But the options given are a. 5/6 b.11/30 c.6/5 d.-5/6
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