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Form a quadratic equation with roots equal to -4 and -1/3 expressing your answer in the...

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seerboldly | Student, Grade 10 | Salutatorian

Posted May 19, 2013 at 9:34 AM via iOS

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Form a quadratic equation with roots equal to -4 and -1/3 expressing your answer in the form ax^2 + bx + c = 0 where b, a, c are integers

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pramodpandey | College Teacher | Valedictorian

Posted May 19, 2013 at 9:46 AM (Answer #1)

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A quadratic equation with roots equal to -4 and -1/3  is

`(x-(-4))(x-(-1/3))=0`

open brackets,

`(x+4)(x+1/3)=0`

`(x+4)((3x+1)/3)=0`

`(x+4)(3x+1)=0`

`3x^2+12x+x+4=0`

`3x^2+13x+4=0`

Which ,is required answer.

Sources:

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oldnick | Valedictorian

Posted May 20, 2013 at 2:47 AM (Answer #2)

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`P(x)=k(x+1/3)(x+4)=k/3 (3x+1)(x+4)=k/3 (3x^2+13x+4)`

`AA k in RR` , `k!=0` 

 

 

Black line for k=1,

Red line, for k =2

Blue line for k=5

All Both this polyms have roots -4;-1/3.

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