Question

determine whether (x-2) is a factor of x^2+2x-3 or not

Answer 1

Here is your answer

Put x = 2 in equation
$x {}^{2} + 2x - 3 = 0 \\ 2 {}^{2} + 2 \times 2 - 3 = 0 \\ 4 + 4 - 3 = 0 \\ 8 - 3 = 0 \\ 5 = 0$
As it's not equal

Hence x -2 is not a factor of the equation

Hope it helps you

Answer 2

Answer:

It is not a factor

Step-by-step explanation:

x-2=0

x=2

Now,

p(x)=x²+2x-3

p(2)=2²+2(2)-3

     =4+4-3

     =5≠0

As remainder is not 0 thus,

It is not a factor