if alpha and beta are the zeros of the polynomial 2 x square - 7 x + 3 find the sum of reciprocal of these zeros
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What is a polynomial?
A polynomial is an algebraic expression having the degree of it's variables as a whole number.
For example - 2, x , x+4, 4x³ etc.
The classification of polynomials can be done in two ways :
• On the basis of degree :
★ Linear Polynomial - The polynomial having the degree = 1
★ Quadratic Polynomial - The polynomial having the degree = 2
★ Cubic Polynomial - The polynomial having the degree = 3
• On the basis of terms :
★Monomial : The polynomial having a single term only.
★ Binomial : The polynomial having two terms.
★ Trinomial : The polynomial having 3 terms.
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tejasgupta:
Great!
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Answer:
7/3
Step-by-step explanation:
2x^2- 7x + 3
2x^2- 6x -x + 3(splitting the middle term)
2x(x-3) -1(x-3)
(x-3)(2x-1)
- zeroes are 3,1/2
- reciprocals=1/3,2
- sum=1/3+2
=(1+6)/3
=7/3
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