find the quadratic polynomial the sum and product of whose zeros are 2 and minus 3 root 2 respectively also find its zeros
Answers
hey mate here is your answer
f(x)=x2-2x-3
it will surely help you. and please mark me brainliest.
Answer:
Sum of zeroes = -b/a =
-(coefficient of x)
______________ = 2
coefficient of x^2
So, -b 2 -(-2)
___ = ___ = ____ _____eqn(1)
a 1 1
Now,product of zeroes = c/a =
Constant term
________________ = -3 root 2
Coefficient of x^2
So, c -3 root 2
___ = _______ _____eqn(2)
a 1
By comparison of eqn 1 and 2
a=1 ; b=-2 AND c=-3 root 2.
Now putting values of a,b,c in standard form of quadratic polynomial we get
ax^2 +bx + c
x^2 -2x - 3 root 2.
For finding zero you should factorize the required quadratic polynomial.
Hope it helps..
Ask for any doubt about answer or else..