Question

Find K,if p(x)= kx^3+9x^2+4x-10 is divided by (x-3) leaves remainder -22



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Answer 1

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Step-by-step explanation:

ANSWER ::

The zero of the polynomial x - a is given by

x - 3= 0

= 0So x = 3

Let f(x) = kx³ +9x² + 4x - 10

Now by the Remainder Theorem the required Remainder is

Now by the Remainder Theorem the required Remainder is f(3) = k×3³ +9×3² + 4×3 - 10

= 27k + 81 +12 - 10 = 27k + 83

By the given condition

27k + 83 = - 22

27k = - 105

k = - 105/27 = - 35/9