If a and b are the zerosof polynomial x square –4√3x + then find the value ofof a+b-abpolynomials About the author Evelyn
Answer: We know that for any quadratic polynomial p(x)=ax 2 +bx+c where a =0 Let α,β be the zeroes of the polynomial p(x) Then, α+β= a −b and αβ= a c Now, given that p(x)=x 2 −4 3 x+3 So, we have α+β=4 3 αβ=3 Using above values we get α+β −(αβ)=4 3 −3 Reply
Answer:
We know that for any quadratic polynomial
p(x)=ax
2
+bx+c where a
=0
Let α,β be the zeroes of the polynomial p(x)
Then, α+β=
a
−b
and αβ=
a
c
Now, given that
p(x)=x
2
−4
3
x+3
So, we have α+β=4
3
αβ=3
Using above values we get
α+β −(αβ)=4
3
−3