Find all the zereos of the polynomial x³ + 6 - 7x if one of its zereos is -3
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As - 3 is one of the zeros of the polynomial,
x+3 must be the factor of it.(By factor theorem)
So dividing x³- 7x+6 by (x+3)
ON doing so, we get the quotient to be x²- 3x+2
Factorising,
x² -2x -x +2
x(x-2) -1(x-2)
(x-1)(x-2)
Thus the other two zeros are, 1 and 2.
Hope this helps.
x+3 must be the factor of it.(By factor theorem)
So dividing x³- 7x+6 by (x+3)
ON doing so, we get the quotient to be x²- 3x+2
Factorising,
x² -2x -x +2
x(x-2) -1(x-2)
(x-1)(x-2)
Thus the other two zeros are, 1 and 2.
Hope this helps.
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