a quadratic polynomial whose one of the zeroes is -12 and the sum of the zeroes is 33 is
Answers
Given, one of the zeroes is -12 and the sum of the zeroes is 33.
So, the other zero will be 33 - (-12) = 33 + 12 = 45.
Therefore, the two zeroes are -12 and 45 respectively.
We know that, the quadratic polynomial will be,
x^2 + [(alpha) + (beta)]x + (alpha)(beta)
We also know that, the sum of the zeroes (alpha + beta) is 33 and the product of the zeroes will be -12 times 45, which is -540 .
By putting the values in the assumed quadratic polynomial, we get
x^2 + 33x - 540
Answer:
The quadratic polynomial whose one of the zeroes is -12 and the sum of the zeroes is 33 is x^2 + 33x - 540 .
Answer:
Given, one of the zeroes is -12 and the sum of the zeroes is 33.
So, the other zero will be 33 - (-12) = 33 + 12 = 45.
Therefore, the two zeroes are -12 and 45 respectively.
We know that, the quadratic polynomial will be,
x^2 + [(alpha) + (beta)]x + (alpha)(beta)
We also know that, the sum of the zeroes (alpha + beta) is 33 and the product of the zeroes will be -12 times 45, which is -540 .
By putting the values in the assumed quadratic polynomial, we get
x^2 + 33x - 540
Answer:
The quadratic polynomial whose one of the zeroes is -12 and the sum of the zeroes is 33 is x^2 + 33x - 540 .
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