Find the zeroes of the polynomial 7y^2 - 11/3 y - 2/3 by factorisation method and verify the relations between the zeroes and the coefficients of the polynomial.
Find the zeroes of the polynomial 7y^2 - 11/3 y - 2/3 by factorisation method and verify the relations between the zeroes and the coefficients of the polynomial.
7y² - 11y/3 - 2/3 = 0
=> 21y² - 11y - 2 = 0
=> 21y² + 3y - 14y - 2 = 0
=> 3y(7y + 1) - 2(7y + 1) = 0
=> (3y -2)(7y + 1) = 0
=> y = 2/3 or -1/7
Sum of roots = 2/3 - 1/7 = 11/21 = -b/a = - (-11/3 )/7 = 11/21
Answers & Comments
Answer:
therefore,the zeros are
a=7, ,
Sum of the zeros
Product of the zeros
Verification:
Sum of the zeros
Product pf the zeros
Answer:
2/3 & -1/7
Step-by-step explanation:
Find the zeroes of the polynomial 7y^2 - 11/3 y - 2/3 by factorisation method and verify the relations between the zeroes and the coefficients of the polynomial.
7y² - 11y/3 - 2/3 = 0
=> 21y² - 11y - 2 = 0
=> 21y² + 3y - 14y - 2 = 0
=> 3y(7y + 1) - 2(7y + 1) = 0
=> (3y -2)(7y + 1) = 0
=> y = 2/3 or -1/7
Sum of roots = 2/3 - 1/7 = 11/21 = -b/a = - (-11/3 )/7 = 11/21
Products of roots = (2/3)(-1/7) = - 2/21 = c/a = (-2/3)/7 = - 2/21