Question

A polynomial p(x) is given as
x^5 + kx^4 + 4x^3 - x^2 + 5x – 4.
1 is a zero of p(x).
Find k.​

Answer 1

Answer:

K = -7

Step-by-step explanation:

P(x) = x^5 + kx^4 + 4x^3 - x^2 + 5x – 4

P(1) = 1^5 + k(1)^4 + 4(1)^3 - 1^2 + 5(1) - 4

      = 1 + 1k + 4 + 1 + 5 - 4

      = 1k + 7

-7  = K  (By shifting 7 to left hand side)

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