Question

If α and β are the zeros of the polynomial 2x2 + 7x + 5, write the

value of α+β+2αβ.

answer with steps ..no Waste answers​

Answer 1

Answer:

no waste answer....

and required answer is 3/2

Answer 2

Step-by-step explanation:

We have the equation

2x²+7x+5

Comparing it with ax²+bx+c we get , a=2 , b=7 and c =5

Thus , Sum of zeros (α+β) = -b/a = -7/2

And product of zeros (αβ)=c/a = 5/2

Now we have

⇒α+β+2αβ

⇒-7/2 +10/2

⇒3/2

Verification

We have the equation

2x²+7x +5

2x²+2x+5x+5

2x(x+1)+5(x+1)

(x+1)(2x+5)=0

x=-1 or x=-5/2

Thus now putting values in equation

α+β+2αβ

= -1+(-1/5)+2(-1)(-1/5)

=-7/5 +10/2

=3/2

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• Important Term

When a equation is in the form of ax²+bx +c then , the sum of zeros will be (-b/a) and its product of zeros will be (c/a) and this is also called relation of coefficient of zeros of polynomial