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If you give the correct answer I will surely mark you BRAINLIEST.When a polynomial f(x) is divided by (x - 1), the remainder is 5 and when it is dividedby (x - 2), the remainder is 7. Find the remainder when it is divided by (x - 1) (x - 2). |
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Answer» Step-by-step explanation: We know that the remainder from (x-1) is 5 => P(1) = 5 We know that the remainder from (x-2) is 7 => P(2) = 7 We need to ánd out the remainder of polynomial P(x) when divided by (x-1)(x-2) Let us say D = (x-1)(x-2), the quotient is Q and the remainder is R The remainder will be of the format Ax + B, because it is the remainder after division by a QUADRATIC. P(x) = Q*D + Ax + B P(1) = Q*0 + A + B => 5 = A + B P(2) = Q*0 + 2A + B => 7 = 2A + B Solving these EQUATIONS, we get A =2 and B = 3 => R = Ax + B => Remainder is 2x + 3 Mark As Brainest Plzz It's Correct |
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