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If two of the zeros of the polynomial f(x) = x+ (6 - √3)x+ (-1 - √3)x + 30 - 6√3 are 3 and -2 then, the other zero will be ____________
  • a)
    -√3
  • b)
    5
  • c)
    5 - √3
  • d)
    5 + √3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If two of the zeros of the polynomial f(x) = x3+ (6 - √3)x2+ (-1...
Since the zeros of the polynomial are 3 and -2.
The divisor of the polynomial will be (x - 3) and (x + 2).
Multiplying (x - 3) and (x + 2) = x+ 2x - 3x - 6 = x- x + 6
Dividing, x+ (6 - √3)x+ (-1 - √3)x + 30 - 6√3 by x- x + 6
We get, x - 5 + √3 as quotient.
Hence, the third zero will be 5 - √3.
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Most Upvoted Answer
If two of the zeros of the polynomial f(x) = x3+ (6 - √3)x2+ (-1...
Since the zeros of the polynomial are 3 and -2.
The divisor of the polynomial will be (x - 3) and (x + 2).
Multiplying (x - 3) and (x + 2) = x+ 2x - 3x - 6 = x- x + 6
Dividing, x+ (6 - √3)x+ (-1 - √3)x + 30 - 6√3 by x- x + 6
We get, x - 5 + √3 as quotient.
Hence, the third zero will be 5 - √3.
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If two of the zeros of the polynomial f(x) = x3+ (6 - √3)x2+ (-1 - √3)x + 30 - 6√3 are 3 and -2 then, the other zero will be ____________a)-√3b)5c)5 - √3d)5 + √3Correct answer is option 'C'. Can you explain this answer?
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