Math, asked by vishal1116muthu, 1 month ago

Which of these is the polynomial whose zeroes are 1/3 and -3/4 ?

Answers

Answered by Anonymous
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 LilyBloom
3

Answer:

12x^2+5x-3=0

Step-by-step explanation:

Attachments:
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