find a quadratic polynomial the sum and product of whose zeroes are √2 and -3/2 respectively. find the zeroes also
Answers
Answered by
54
Given
To Find
We have
General Equation of polynomial
Put the value
Now Simplify the equation
Now Find the zeroes
answer
Answered by
32
Answer:
Given :-
Sum of zeroes = √2
Product of zeroes = -3find a quadratic polynomial the sum and product of whose zeroes are √2 and -3/2 respectively. find the zeroes also/2
To Find :-
- Quardtic polynomial
- Zeroes
Solution :-
We know that
Here,
Now,
By putting the value
Now
Finding zeroes
2x² - 3√2x + √2x - 3 = 0
√2x(√2x - 3) + 1(√2x - 3) = 0
Now,
By taking √2x as common
(√2x + 1) (√2x - 3)
So,
Either
x = -1/√2
or,
x = 3/√2
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