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
Answers
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) .
Answer:
PLEASE MARK ME A BRAINLIEST ANSWER.
