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If x2+4x+k is exactly divisible by x+2,then k is |
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Answer» -x² + 4x + k is exactly divisible by x + 2.TO FIND :-The value of k.SOLUTION :-Let x + 2 = 0↬ x = -2✮ In question it is given that , x² + 4x + k is exactly divisible by x + 2 . So we can SAY that,➳ x² + 4x + k = 0➳ (-2)² + 4 × (-2) + k = 0➳ 4 + (-8) + k = 0➳ 4 - 8 + k = 0➳ -4 + k = 0➳ k = 4Hence required value of k is 4.✮ Verification,➳ x² + 4x + k = 0➳ (-2)² + 4 × (-2) + 4 = 0➳ 4 + (-8) + k = 0➳ 4 - 8 + 4 = 0➳ 8 - 8 = 0➳ 0 = 0Hence Verified. |
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