Q) If α and ß are the zeroes of the polynomial 2x²+5x+1, then the value of α+ß+αß is :
a) -2
b) -1
c) 1
d) 3
*(please give the full explanation)*
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Q) If α and ß are the zeroes of the polynomial 2x²+5x+1, then the value of α+ß+αß is :
a) -2
b) -1
c) 1
d) 3
*(please give the full explanation)*
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Answer
Given
To Do
Step By Step Explanation
We know that α and β are the zeros of the quadratic polynomial 2x² + 5x + 1. We need to find the value of α + β + αβ. So let's do it !!
Formula Used :
Here, 2 = a, 5 = b and 1 = c.
Substituting :
Let's substitute the formula to find the value of α + β + αβ.
Therefore, the value of α + β + αβ = -2. (option a)
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Step-by-step explanation:
★ If α and ß are the zeroes of the polynomial 2x² + 5x + 1 , then the value of α + ß + αß is :-
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Given Polynomial :-
To Find :-
Here,
Where,
Then,
Now,
➡ -5/2 + 1/2
➡ ( -5+1 ) / 2
➡ -4 / 2
➡ -2
Hence,
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