class 10th maths question of polynomial
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Heya !!
Question (1) :- Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and their coefficients.
(1) 5X² - 4 - 8X
(2) 4X² - 4X - 3
(3) 2S² - (1 + 2√2 ) S + 2
Question (2) :- Fins a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively :
(1) 0 , √5
(2) 2 , -3/5
(3) 7 ,10
Question (3) :- Find the condition that zeroes of ax² + bx + c are reciprocal of each other .
Question (4) :- Find a quadratic polynomial with zeroes ( 3 + √2 ) and (3-√2 ).
Question (5) :- Find K for which -1/2 is a zero of polynomial P(x ) = x² + 2kx - 3.
Question (6) :- Write the zeroes of the polynomial X²+2X + 1.
Question (7) :- If one zero of polynomial P(x ) = (K²+4)X² + 13X + 4K is reciprocal of other , then show that K = 2.
Question (1) :- Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and their coefficients.
(1) 5X² - 4 - 8X
(2) 4X² - 4X - 3
(3) 2S² - (1 + 2√2 ) S + 2
Question (2) :- Fins a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively :
(1) 0 , √5
(2) 2 , -3/5
(3) 7 ,10
Question (3) :- Find the condition that zeroes of ax² + bx + c are reciprocal of each other .
Question (4) :- Find a quadratic polynomial with zeroes ( 3 + √2 ) and (3-√2 ).
Question (5) :- Find K for which -1/2 is a zero of polynomial P(x ) = x² + 2kx - 3.
Question (6) :- Write the zeroes of the polynomial X²+2X + 1.
Question (7) :- If one zero of polynomial P(x ) = (K²+4)X² + 13X + 4K is reciprocal of other , then show that K = 2.
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