Question

find the value of k, if x- 1 is a
factor of x² +x+k (use division
method)​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

find the value of k, if x- 1 is a

factor of x² +x+k (use division

method)

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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=>If x-1 is a factor of the polynomial x^2+x+k then value of x =1(x-1=0).

=>Now,put the value of x in above equation to find out the value of k.

$= > {x}^{2} + x + k = 0$

$= > {(1)}^{2} + 1 + k = 0$

$= > 2 + k = 0$

$= > k = - 2$

Now ,check whether the value of k is correct or not.

$= > {x}^{2} + x + k = 0$

$= > 1 + 1 + ( - 2) = 0$

$= > 2 - 2 = 0$

$= > 0 = 0$

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