Find the quadratic polynomial whose zeros are 2/3 and -1/4 verify the relation between the coefficients and the zeros of the polynomial
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Hey mate !!
Here's the answer !l
Refer to the attachment !!
Hope it helps !!
Cheers !!
Here's the answer !l
Refer to the attachment !!
Hope it helps !!
Cheers !!
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Answered by
10
heya...!!!
given that:-
alpha = 2/3
beta = -1/4
x = 2/3, x = -1/4
(3x - 2)(4x + 1)
=> 12x² + 3x - 8x - 2
=> 12x² - 5x - 2
a = 12
b = -5
c = -2
verification,
alpha + beta = -b/a
=> 2/3 + (-1/4) = -(-5/12)
=> 2/3 - 1/4 = 5/12
=> (8 - 3)/12 = 5/12
=> 5/12 = 5/12
AND,
alpha × beta = c/a
=> 2/3×-1/4 = -2/12
=> -2/12 = -2/12
HENCE, verified
given that:-
alpha = 2/3
beta = -1/4
x = 2/3, x = -1/4
(3x - 2)(4x + 1)
=> 12x² + 3x - 8x - 2
=> 12x² - 5x - 2
a = 12
b = -5
c = -2
verification,
alpha + beta = -b/a
=> 2/3 + (-1/4) = -(-5/12)
=> 2/3 - 1/4 = 5/12
=> (8 - 3)/12 = 5/12
=> 5/12 = 5/12
AND,
alpha × beta = c/a
=> 2/3×-1/4 = -2/12
=> -2/12 = -2/12
HENCE, verified
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