Find the quadratic polynomial when the sum and product of its zeroes are 8/3 and 7 respectively
Answers
Answered by
1
use
x^2-x(sum of zeroes)+product of zeroes
x^2-8/3x+7
or
3x^2-8x+21
x^2-x(sum of zeroes)+product of zeroes
x^2-8/3x+7
or
3x^2-8x+21
Answered by
0
Sum of zeroes = -8/3
Product of zeroes = 4/3
Required quadratic polynomial is
x2 - (-8/3)x + 4/3
or 3x2 + 8x + 4
Now, this polynomial can be factorised as below:
3x2 + 8x + 4
3x2 + 6x + 2x + 4
3x(x + 2) + 2(x + 2)
(3x + 2)(x + 2)
Thus, the zeroes are -2/3 and -2.
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