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One Zero of the Polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the Other Zeros of The Polynomial. - Mathematics

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प्रश्न

One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the  polynomial.

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उत्तर

Given: `x =2/3` is one of the zero of` 3x^3 + 16x^2 + 15x – 18`
Now, we have 

`x=2/3` 

`⇒ x-2/3=0`  

Now, we divide `3x^3 + 16x^2 + 15x – 18  by x –2/3` to find the quotient 
 

So, the quotient is `3x^2+18x+27` 

Now, 

`3x^2 + 18x + 27 = 0`
⇒ `3x^2 + 9x + 9x + 27 = 0`
⇒ `3x(x + 3) + 9(x + 3) = 0` 

⇒ (x + 3) (3x + 9) = 0
⇒ (x + 3) = 0 or (3x + 9) = 0
⇒ x = –3 or x = –3 

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पाठ 2: Polynomials - Exercises 1

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