Question

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Answer 1

Answer:

3

Step-by-step explanation:

    Using theorems( remainder theorem ):

When given polynomial is divided by ( x - 1 ), remainder is 2, so when x = 1, numeric value of this expression will be 2.

    ⇒ x^3 + x^2 - kx + 3 = remainder

    ⇒ ( 1 )^3 + ( 1 )^2 - k( 1 ) + 3 = 2

    ⇒ 1 + 1 - k + 3 = 2

    ⇒ 2 - k + 3 = 2

    ⇒ 2 + 3 - 2 = k

    ⇒ 3 = k

Hence the required value of k is 3

Answer 2

Answer:

Step-by-step explanation:

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