Question

Use factor theorem to determine whether x+3 is factor of x²+2x-3 or not.

Answer 1

x+3=0
x=0-3
x=-3
put x= -3
(-3)2 +2×(-3)-3
9+(-6)-3
9-6-3
3-3=0
so g(x) is the factor of p(x)

Answer 2

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If (x-a) is a factor of a polynomial

p(x), then p(a) = 0

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Here ,

Let p(x) = x²+2x-3 ,

we have to check p(-3 ) = 0 or not .

p(-3) = (-3)² + 2(-3) - 3

= 9 - 6 - 3

= 9 - 9

= 0

Therefore ,

p(-3) = 0

x+3 is a factor of p(x).

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