without actual divison,prove that x^4+2x^3-2x^2+2x-3 is exactly divisible by x^2+2x-3
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Answered by
1
Answer:
Step-by-step explanation:
Factors of x²+2x-3
=(x-1)(x+3) => x=1,-3
If x²+2x-3 divides x^4+2x³-2x²+2x-3 then 1,-3 should satisfy the equation.
When 1,-3 is put in the equation x^4+2x^3-2x^2+2x-3 leaves a remainder 0 which means that x²+2x-3 will divide x^4+2x^3-2x^2+2x-3 completely.
Answered by
0
Answer:
Step-by-step explanation:
Factors of x²+2x-3
=(x-1)(x+3) => x=1,-3
If x²+2x-3 divides x^4+2x³-2x²+2x-3 then 1,-3 should satisfy the equation.
When 1,-3 is put in the equation x^4+2x^3-2x^2+2x-3 leaves a remainder 0 which means that x²+2x-3 will divide x^4+2x^3-2x^2+2x-3 completely.
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