Without aactual division prove that x⁴+2x³-2x²-3 is exactly divisi

1.	Without aactual division prove that x⁴+2x³-2x²-3 is exactly divisible by x²+2x-3
Answer» Answer: Step-by-step EXPLANATION: x²+2 x-3=0 x²-x+3 x-3=0 x(x-1)+3(x-1)=0 (x-1)(x+3)=0 x=1,-3 Substitute x=1 1⁴+21³-21²-3=0 1+2-2-3=0 -2=0 Not divisible x=-3 (-3)⁴+2(-3)³-2(-3)²-3=0 81-54-18-3=0 6=0 Therefore it is not divisible Please MARK me as brainliest

Without aactual division prove that x⁴+2x³-2x²-3 is exactly divisible by x²+2x-3

Answer»

Answer:

Step-by-step EXPLANATION:

x²+2 x-3=0

x²-x+3 x-3=0

x(x-1)+3(x-1)=0

(x-1)(x+3)=0

x=1,-3

Substitute

x=1

1⁴+2*1³-2*1²-3=0

1+2-2-3=0

-2=0

Not divisible

x=-3

(-3)⁴+2(-3)³-2(-3)²-3=0

81-54-18-3=0

6=0

Therefore it is not divisible

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