If 3 is one of the zeroes of polynomial x³+3x²+kr-24 then k=
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Answer:
-30
Step-by-step explanation:
If 3 is a zero of the polynomial, when we substitute 3 in place of x, the polynomial should be equal to 0.
⇒ x³ + 3x² + k - 24
⇒ (3)³ + 3(3)² + k - 24 = 0
⇒ 27 + 27 + k - 24 = 0
⇒ 54 - 24 + k = 0
⇒ 30 + k = 0
∴ k = -30
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