Question

Check whether (X+3) is factor of : x^2+2x-3​

Answer 1

$\sf\large\green{\underline { {x}^{2} + 2x - 3 = 0 }} \\ \\ \sf\large\red{\underline {x = - 3 }}(as \: (x + 3) \: is \: factor) \\ \\ \sf\large\green{\underline { { - 3}^{2} + 2( - 3) - 3 = 0}} \\ \\ \sf\large\green{\underline { 9 - 6 - 3 = 0}} \\ \\ \sf\large\green{\underline { 0 = 0}} \\ \\ \sf\large{\underline { therefore \: (x + 3) \: is \: factor}}$

Answer 2

Answer:

Yes

Solution :

To check if it is a factor or not, divide the given expression by (x + 3),

(refer to given attachment)

As it divides it completely, leaving no remainder

=> x + 3 is a factor of the given expression

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Alternative approach :

Another way to find it is that,

put the divisor = 0

=> x + 3 = 0

=> x = -3

So, if x = -3 will make the expression equal to zero, it means x + 3 will be a factor of given expression

(refer to the given attachment)

hence x + 3 is a factor of given expression.