without actually finding f(3), find whether (x-3) is a factor of f(x)=x³+x²-2x+4.
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we can solve it by hidden trial method.
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1
Let us try with synthetic division method
3 | 1 1 -2 4
| 0 3 12 30
----------------
1 4 10 -26
As the remainder is not equal to zero, hence (x-3) is not a factor of x³+x²-2x+4
3 | 1 1 -2 4
| 0 3 12 30
----------------
1 4 10 -26
As the remainder is not equal to zero, hence (x-3) is not a factor of x³+x²-2x+4
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