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so question f(x)= x³-3x²-13x+15
and divisor= x²+2x-3= (factorise)
= (x-1)(x+3)
if f(x) is divisible by divisor,
if f(1) and f(-3) comes zero then the thing will be divisible by divisor.
So f(1)= 1³-3(1)²-13(1)+15
= 0
and
f(-3)= (-3)³-3(-3)²-13(-3)+15
= -27-27+39+15
= 0
since f(-divisor) is 0
so f(x) is divisible by (x²+2x-3)
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i hope this is help you f o ll o me ❤️
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