If p(x)=x4-2x3+3x2-ax+6 is a polynomial such that when it is divided by (x-1)and(x+1)the remainder respectively 15 and 9. find the value of a and b
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When f(x) is divided by x-1 and x+1 the remainder are 5 and 19 respectively. ∴f(1)= 5 and ... and (−1)4−2×(−1)3+3×(−1)2−a ×(−1)+b=19 ... Putting b=8 and −a+b=3, we get
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When f(x) is divided by x - 1 and x + 1 the remainder are 5 and 19 respectively. f(1) = 5 and f( - 1) = 19 (1)^4 - 2 × (1)^3 + 3 × (1)^2 - a × 1 + b
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