Algebrahard · Past Paper

If P(x) is divided by (x - a)(x - b), what is the general form of the remainder?

Ak (constant)
Bmx + c (linear)
Cax^2 + bx + c
D0

✓ Correct Answer: Bmx + c (linear)

The remainder's degree must be less than the divisor's degree. Divisor degree is 2, so remainder degree is at most 1.

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