10) 11. If α and β are the zeroes of the quadratic polynomial f(x) =

1.	10) 11. If α and β are the zeroes of the quadratic polynomial f(x) = x2 – 5x + 6 then find the value of 1α + 1β - α β
Answer» Answer : -31/6 SOLUTION : Please refer to the attachment . NOTE: ★ The possible values of the variable for which the polynomial becomes zero are called its zeros . ★ A QUADRATIC polynomial can have atmost two zeros . ★ The general form of a quadratic polynomial is given as ; ax² + bx + c . ★ If α and ß are the zeros of the quadratic polynomial ax² + bx + c , then ; • Sum of zeros , (α + ß) = -b/a • Product of zeros , (αß) = c/a ★ If α and ß are the zeros of a quadratic polynomial , then that quadratic polynomial is given as : k•[ x² - (α + ß)x + αß ] , k ≠ 0. ★ The discriminant , D of the quadratic polynomial ax² + bx + c is given by ; D = b² - 4ac ★ If D = 0 , then the zeros are real and equal . ★ If D > 0 , then the zeros are real and distinct . ★ If D < 0 , then the zeros are unreal (IMAGINARY) .

10) 11. If α and β are the zeroes of the quadratic polynomial f(x) = x2 – 5x + 6 then find the value of 1α + 1β - α β

Answer»

-31/6

Please refer to the attachment .

★ The possible values of the variable for which the polynomial becomes zero are called its zeros .

★ A QUADRATIC polynomial can have atmost two zeros .

★ The general form of a quadratic polynomial is given as ; ax² + bx + c .

★ If α and ß are the zeros of the quadratic polynomial ax² + bx + c , then ;

• Sum of zeros , (α + ß) = -b/a

• Product of zeros , (αß) = c/a

★ If α and ß are the zeros of a quadratic polynomial , then that quadratic polynomial is given as :

k•[ x² - (α + ß)x + αß ] , k ≠ 0.

★ The discriminant , D of the quadratic polynomial ax² + bx + c is given by ;

D = b² - 4ac

★ If D = 0 , then the zeros are real and equal .

★ If D > 0 , then the zeros are real and distinct .

★ If D < 0 , then the zeros are unreal (IMAGINARY) .