Question

It is given that -1 is one of the zeros of the polynomial x cube + 2x square - 11x-12 find all the zeros of the given polynomial.

Answer 1

heya....!!!!!

given that:-

x = - 1

x + 1)x³ + 2x² - 11x - 12(x² + x - 12
x³ + x²
(-)____(-)
————————
x² - 11x
x² + x
(-)____(-)
———————
-12x - 12
-12x - 12
(+)_____(+)
————————
0 0

now, the another zeroes is

x² + x - 12

=> x² + 4x - 3x - 12

=> x (x + 4) - 3(x + 4)

=> (x - 3)(x + 4)

=> x = 3,x = -4

Answer 2

Your answer is give above.

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