Assertion : (x+2) and (x-1) are factors ...

Assertion : `(x+2)` and `(x-1)` are factors of the polynomial `x^(4)+x^(3)+2x^(2)+4x-8` .
Reason : For a polynomial `p(x)` of degree `ge1, x-a` is a factor of the polynomial `p(x)` if and only if `p(a)ge1` .

If both assertion and reason are true and reason is the correct explanation of assertion .

If both assertion and reason are true but reason is not the correct explanation of assertion .

If assertion is true but reason is false .

If assertion is false but reason is true .

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The correct Answer is:

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If (x+2)and(x-1) are factors of the polynomial p(x)=x^(3)+10x^(2)+mx+n then

m = 5 , n = - 3

m = 7 , n = - 18

m = 17 , n = - 8

m = 23 , n = - 19

`4,(-1)/(2)`

`4,(1)/(2)`

`-4,(1)/(2)`

`-4,(-1)/(2)`

`(1)/(3)and3`

`(1)/(sqrt(3))andsqrt(3)`

`(-1)/(sqrt(3))andsqrt(3)`

`(1)/(sqrt(3))and(-1)/(sqrt(3))`