Math, asked by leelakusal24, 11 months ago

is X =2 a zero of the polynomial X cube- 3 X square - X -6

Answers

Answered by amankumaraman11
0

Given,

 \rm{}p(x) =  {x}^{3}  -  {3x}^{2}  - x - 6

We have,

  • To check whether x = 2 is a zero of p(x)

So,

  • If taking p(x) as p(2) is equal to zero, then, x = 2 will be zero of p(x).

Now,

 \rm{}p(x)  \to   {x}^{3}  -  {3x}^{2}  - x - 6 \\ \sf p(2)  \to   {(2)}^{3}  -  {3(2)}^{2}  - 2 - 6 = 0 \\  \sf p(2)  \to 8 - 12 - 2 - 6 = 0 \\  \sf p(2)  \to  8 - 20 = 0 \\  \sf p(2)  \to  - 12 \neq0 \\  \\ \small \bf  \therefore \:  \:  \green{x = 2 }\:  \: is \:  \: not \:  \: a \:  \: zero \:  \: of \:  \: p(x).

Answered by mayank487361
0

Answer:

No

Step-by-step explanation:

p (x)= x^3 - 3x^2- x -6

Now,

p (2)= (2)^3 - 3 (x)^2- 2- 6

p (2)= 8 - 3×4 - 8

p (2)= -12 not equal to 0

Hence, 2 is not a zero of the given polynomial.

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