What must be added to the polynomial x 4 2x 3 − 2x 2 x − 1 so that the resulting polynomial is exactly divisible by x 2 − 2x − 3?Hence, (x−2) must be added to the polynomial x4+2x3−2x2+x−1 so that the resulting polynomial is exactly divisible by x2+2x−3. Show
What must be added to 2x 4 5x 3 2x 2 x 3 so that the result is exactly divisible by x 2 )?Thus, 5 must be added to 2x4–5x3+2x2–x–3 so that the result is exactly divisible by ( x – 2).
What must be added to 4x4 2x3 2x2 x1?Hence we should add –rx = 61x – 65 to fx so that the resulting polynomial is divisible by g x.
What must be added to x3 3x2 12x 19 so that the result is exactly divisible by x2 x 6?So, 2x+5 must be added to f(x), so that the result is exactly divisible by x2+x−6.
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