find the quadratic polynomial the sum and product of those zeros are 2 and -3 respectively
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Answer:
x square+3x+2
Step-by-step explanation:
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Given:
- Sum of roots (α + β) = 2
- Product of roots (αβ) = -3
To find:
- Quadratic polynomial = ?
Solution:
As we know that
Quadratic polynomial = x² - (α + β)x + αβ
Here , substituting the value of α + β & αβ we have
→ x² - 2x + (-3)
→ Quadratic polynomial = x² - 2x - 3
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Roots of quadratic equation :-
x = - b±√b² - 4ac/2a
Where
- x : roots
- b : coefficient of x
- a : coefficient of x²
- c : constant term
Here , b² - 4ac also equal to ∆ or D called as delta or determinant.
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