Question

10. If 3 is one of the zeroes of the polynomial p(x)=x3³+3x²+kx-24. then k =______

Answer it correctly ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Correct Question:

If 3 is one of the zeroes of the polynomial p(x) = x³ + 3x² + kx - 24. Then k =______

Answer:

Value of k is -10.

Step-by-step explanation:

Given that 3 is one of the zero of the polynomial x³ + 3x² + kx - 24. As, 3 is the zero of the polynomial means p(x) is equal to zero.

We need to find out the value of k.

Now,

→ p(x) = x³ + 3x² + kx - 24 = 0

→ x³ + 3x² + kx - 24 = 0

Substitute value of x = 3 in above polynomial equation,

→ (3)³ + 3(3)² + k(3) - 24 = 0

Solve the powers,

→ 27 + 3(9) + 3k - 24 = 0

→ 27 + 27 + 3k - 24 = 0

→ 54 - 24 + 3k = 0

→ 30 = - 3k

→ k = - 30/3

→ k = -10

Hence, of 3 is one of the zeroes of the polynomial p(x) = x³ + 3x² + kx - 24. Then value of k is -10.