Question

Verify that -2 is azero of the polynomial 9x*x*x+18x*x-x-2

Answer 1

Hey!

If ( -2 ) Will be the Zeros of the given polynomial then it have to give Zero as resultant while putting at the place of x.

p ( x ) = 9x³ + 18x² - x - 2

= 9 × ( -2 )³ + 18 × ( -2 )² - (-2 ) - 2

= 9 × ( -8 ) + 18 × 4 + 2 - 2

= -72 + 72

= 0

Hence , ( -2 ) is the zeros of the polynomial !!

Answer 2

Hi,

Here is your answer !
_________________________

Given polynomial,

p(x) = 9x³ + 18x² - x - 2

If -2 is a zero of given polynomial p(x)

Then p(-2) must be equal to 0

Now,

p(-2) = 9(-2)³ + 18(-2)² - (-2) - 2

= 9×(-8) + 18×4 - 2 + 2

= -72 + 72

= 0

Since, p(-2) = 0

Therefore,

It is verified that -2 is a zero of the given polynomial