Wil give extraaa pointsss and brainliest just for the answers say the whole thing so its easier

Here are your fill-ins:

r = 1 is a zero, so (r-1) is a factor.

r = -1 is a zero, so (r+1) is a factor.

The remainders from synthetic division are 0 each time.

See the attachment for the synthetic division numbers.

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The reduced quadratic is ...

... x² -6x +13 = 0

Solving by completing the square, we have ...

... (x -3)² = -4

... x = 3 ± 2i

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The quadratic formula would tell you ...

... x = (-(-6) ± √((-6)² -4(1)(13)))/(2·1) = (6±√-16)/2 = 3±2i