Question

find the value of k if the polynomial p (x )is equals to K x cube + 9 X square + 4 - 10 is divided by x- 3 leaves remainder - 22

Answer 1

Answer:The polynomial formed -

= kx³ + 9x² + 4x - 10 - ( - 22 )

= kx³ + 9x² + 4x - 10 + 22

= kx³ + 9x² + 4x - 12

Now,

( x - 3 ) is a factor of polynomial.

So, it can make the whole polynomial equals to 0.

Hence,

x - 3 = 0

x = 3

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