Which of these is the polynomial whose zeroes are 1/3 and -3/4 ?
Answers
Answered by
15
Answer: k[x^2 + 5/12.x - 14].
Explanation:
α = ⅓
β = - ¾
So, α + β = 1/3 + (- 3/4) = 1/3 - 3/4 = (4 - 9)/12 = - 5/12
Now, αβ = (1/3)(- 3/4) = - 3/12 = - 1/4
We know, any quadratic polynomial can be written in form of:-
k[x^2 - (α + β)x + αβ]
= k[x^2 - (- 5/12)x + (- 1/4)]
= k[x^2 + 5/12.x - 1/4].
Answered by
3
Answer:
Step-by-step explanation:
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