Question

Check whether (x+2) is a factor of x^3+5x^2-7x-26​

Answer 1

Answer:

yes it is a factor of given polynomial

Answer 2

AnsweR :-

$p(x) = {x}^{3} + 5 {x}^{2} - 7x - 26$

$x + 2 = 0$

$x = 0 - 2$

$x = - 2$

Solution :-

$p( - 2) = {( - 2)}^{3} + 5{( - 2)}^{2} - 7( - 2) - 26$

$- 8 + 20 + 14 - 26$

$p( - 2) = 0$

$\therefore$ -2 is the zero.

Procedure :-

$\implies$ First we will see that is there is any power on any constant or variable, then we will find the zero of x+2 that will be -2 as 2 is transpose it will become -2.

$\implies$ Then we will place -2 in place of x and then equate it. The first -2 will become -8 second one will positive as 2 is multiplied 2 times with itself and then will multiply it with 5 Same with +14 aa there is -2 and the sign is - so ( - × - = +) then the last one will remain the same. After adding and subtracting we will get zero.

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