A polynomial in x whose roots are 4/3 and -3/5 is?

a

15x2 - 11x – 12

b

15x2 + 11x – 12

c

12x2 - x – 12

d

12x2 + 11x – 15

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Correct Option
a

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infinitehoaxx
1 year ago

So here's another method

Using the formula for ax² + bx + c = 0.
Where 𝛂 and 𝛃 the roots of 4/3 and -3/5

𝛂 + 𝛃 = - b/a
𝛂𝛃 = c/a

Therefore, It can be represented as
x² - (𝛂 + 𝛃)x + 𝛂𝛃 = 0
x² - (4/3 - 3/5)x -(4/3 * 3/5) = 0
x² - (20 - 9/15)x - (12/15) = 10
x² - (11/15)x - (12/15) = 0
Multiplying through by 15 we get
15x² - 11x - 12 = 0

Therefore, the final answer is:
15x² - 11x - 12 = 0

Liorastarr
4 months ago

on polynomials the questions are just 2

Anonymous3546095
2 months ago

Not all the questions and solutions are correct

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