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2If (x+2) and (x-1) are the factors of (x3 +10x +mx+n),then value of m and n(b)17,-8(c) 7,-18(d)23, -19 |
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Answer» P(x) = x³ + 10 x² + m x + n x+2 is a factor: P(-2) = 0 => -8 + 40 - 2 m + n = 0 => 2m - n = 32 --(1)x - 1 is a factor: P(1) = 0 => 1 + 10 + m + n = 0 = > m + n = - 11 ---(2) add the two: 3m = 21 => m = 7 n = -11 - 7 = -18 |
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