Question

write a qudratratic polynomial,sum of whose zeroes is 5 and product is 8​

Answer 1

Answer:

Given: Sum fo zeroes = (α+β)=8

Product of the zeroes = αβ=12

Required quadratic polynomial is

x

2

−(α+β)x+αβ=x

2

−(8)x+12

Now , find the zeroes of the above polynomial.

Let f(x)=x

2

−(8)x+12

= x

2

−6x−2x+12

=(x−6)(x−2)

Substitute f(x)=0

(x−6)=0 or (x−2)=0

⇒x=6 or x=2

2 and 6 are the zeroes of the polynomial .

Step-by-step explanation:

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Answer 2

Answer:Given: Sum fo zeroes =  (α+β)=8

Product of the zeroes = αβ=12

Required quadratic polynomial is                                                                                     x^2 −(α+β)x+αβ=x^ 2 −(8)x+12

Now , find the zeroes of the above polynomial.

Let f(x)=x^2 −(8)x+12

= x^2 −6x−2x+12

=(x−6)(x−2)

Substitute f(x)=0

(x−6)=0 or (x−2)=0  

⇒x=6 or x=2

2 and 6 are the zeroes of the polynomial