Find the quadratic polynomial with zeroes
2 and -1/3
Answers
Answered by
16
Answer:
.•♫•Please Mark My Answer Brain List•♫•.
Attachments:
Answered by
115
Question :
- Find the quadratic polynomial with zeroes 2 and -1/3.
ㅤㅤㅤㅤㅤ
Solution :-
- α = 2
- β = -1/3
ㅤㅤㅤㅤㅤ
→ Sum of the zeroes = α + β = 2 + (-1/3)
= (6-1)/3
= 5/3
ㅤㅤㅤㅤㅤ
→ Product of the zeroes = αβ = 2(-1/3)
= -2/3
ㅤㅤㅤㅤㅤ
Polynomial = x² - s(x) + p
- where, s = sum of zeroes
- p = product of zeroes
Polynomial = x² - (5/3)x + (-2/3)
→ x² - (5/3)x - 2/3 = 0
→ (3x² - 5x - 2)/3 = 0 ㅤㅤㅤㅤㅤ( L.C.M)
→ 3x² - 5x - 2 = 0
ㅤㅤㅤㅤㅤ
Required polynomial = 3x² - 5x - 2.
Similar questions