what must be subtracted from the polynomial f(x)=x^4+2x^3-13x^2-12x+21 so that the resulting polynomial is exactly divisable by x^2 -4x+3
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Answer:
we subtract remainder from the dividend, then it will be exactly divisible by the divisor. Therefore, quotient = x2 + 6x + 8 and remainder = (2x - 3). Thus, if we subtract the remainder 2x - 3 from x4 + 2x3 − 13x2 − 12x + 21 it will be divisible by x2 − 4x + 3.
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