Question

find the value of k if the polynomial P(x) =kx³+9x²+4x-10
is divided by (x-3) leaves a demainder -22


give answer in full explanation​

Answer 1

Answer:

Step-by-step explanation:

p(x) = kx³+9x²+4x-10 is divided by x-3 gives = -22

x= 3

p(3) = k×(3)³+9×(3)²+4×(3) - 10 = -22

      = 27k + 81 +12 - 10 = -22

      = 27k +  83 = -22

      = 27k = -22-83

      = 27k = -105

      = k = -105/27

      = k = -3.89

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