Find the third zero of the polynomial 2 x cube + x square - 5 x minus 2 if it is given that the -1 and 2 are the two zeroes of the polynomial
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heya....!!!!!
i think something is mistake in your questions
right questions is like that:-
Find the third zero of the polynomial 2 x cube - x square - 5 x minus 2 if it is given that the -1 and 2 are the two zeroes of the polynomial
its two zeroes are given
x = -1,2
(x + 1)(x - 2)
=> x² - 2x + x - 2
=> x² - x - 2
x² - x - 2)2x³ - x² - 5x - 2(2x + 1
2x³ - 2x² - 4x
(-)____(+)___(+)
—————————
x² - x - 2
x² - x - 2
(-)___(+)__(+)
—————————
0 0 0
hence the another zeroes is
2x + 1 = 0
=> x = -1/2
i think something is mistake in your questions
right questions is like that:-
Find the third zero of the polynomial 2 x cube - x square - 5 x minus 2 if it is given that the -1 and 2 are the two zeroes of the polynomial
its two zeroes are given
x = -1,2
(x + 1)(x - 2)
=> x² - 2x + x - 2
=> x² - x - 2
x² - x - 2)2x³ - x² - 5x - 2(2x + 1
2x³ - 2x² - 4x
(-)____(+)___(+)
—————————
x² - x - 2
x² - x - 2
(-)___(+)__(+)
—————————
0 0 0
hence the another zeroes is
2x + 1 = 0
=> x = -1/2
mysticd:
there is a mistake in the problem
2x³ + x² - 5x - 2 is given.,
but you have taken 2x³ - x² - 5x - 2
plz , check
yea QUESTIONS have some mistakes
if we take +x² it is not possible
that's why
yes
Answered by
11
Answer:
Find the third zero of the polynomial 2 x cube - x square - 5 x minus 2 if it is given that the -1 and 2 are the two zeroes of the polynomial
its two zeroes are given
x = -1,2
(x + 1)(x - 2)
=> x² - 2x + x - 2
=> x² - x - 2
x² - x - 2)2x³ - x² - 5x - 2(2x + 1
2x³ - 2x² - 4x
(-)___(+)__(+)
_____________________
x² - x - 2
x² - x - 2
(-)_(+)_(+)
______________
0 0 0
hence the another zeroes is
2x + 1 = 0
=>2x = -1
=> x = -1/2 (Ans.)
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