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If one zero of the quadratic polynomial x2 + 5k + 6 is 2, then the value of k is |
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Answer» uadratic Polynomial = x² -7x +5kOne zero of given polynomial = -2It MEANS that if we consider polynomial x² -7x +5k and put the value of x = -2 in the given polynomial so we'll GET the value of k .x = -2:\IMPLIES:⟹ P(x) = x² -7x +5kSubstitute the value we get:\implies:⟹ P(-2) = (-2)² -7(-2) + 5k:\implies:⟹ (-2)² -7(-2) +5k = 0:\implies:⟹ 4 +14 +5k = 0:\implies:⟹ 18 + 5k = 0:\implies:⟹ 5k = -18:\implies:⟹ k = -18/5Hence, the value of k = -18/5.Step-by-step explanation:i hope it's helpful to you |
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