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Use factor theorem to show that x^(4)+2...

Use factor theorem to show that `x^(4)+2x^(3)-2x^(2)+2x-3` is exactly divisible by `(x+3)` .

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To show that the polynomial \( P(x) = x^4 + 2x^3 - 2x^2 + 2x - 3 \) is exactly divisible by \( (x + 3) \) using the Factor Theorem, we follow these steps: ### Step 1: Identify the root According to the Factor Theorem, if \( (x + 3) \) is a factor of \( P(x) \), then \( P(-3) = 0 \). Therefore, we need to evaluate \( P(-3) \). ### Step 2: Substitute \( x = -3 \) into the polynomial We substitute \( -3 \) into the polynomial: ...
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