Question

Solve it as soon as possible with full explanation​

Answer 1

Solution:-

Given

Remainder = 4

The given polynomial is :- x³-kx²-13x+ 10

it is divided by x + 2

Now

=> x + 2 = 0

=> x = - 2

We can write as

=> x³-kx²-13x+ 10 = 4

Value of x is given , put the value

=> x³-kx²-13x+ 10 = 4

=> ( - 2 )³ - k × ( - 2 )² - 13 × -2 + 10 = 4

=> - 8 - 4k + 26 + 10 = 4

=> - 8 - 4k + 36 = 4

=> - 4k + 28 = 4

=> - 4k = 4 - 28

=> - 4k = - 24

=> k = 6

Value of k = 6

Option a is correct

Now verified our answer

k = 6

=> ( - 2 )³ - k × ( - 2 )² - 13 × -2 + 10 = 4

=> - 8 - 6 x 4 + 26 + 10 = 4

=> - 8 - 24 + 36 = 4

=> 36 - 32 = 4

=> 4 = 4

Verified