Question

find the value of k if x minus 2 is a factor of x cube + 2 x square minus kx + 10 . hence determine whether x+5 is also factor​

Answer 1

Step-by-step explanation:

k = - 36

Step-by-step explanation:

4 {x}^{3} + 3 {x}^{2} - 4x + k = 0 \\ x - 2 = 0 \\ x = 2 \\ therefore \: substitute \: 2 \: in \: the \: equation \\ 4 \times {(2)}^{3} + 3 \times {(2)}^{2} - 4 \times 2 + k = 0 \\ \\ 4 \times 8 + 3 \times 4 - 4 \times 2 + k = 0 \\ 32 + 12 - 8 + k = 0 \\ 44 - 8 + k = 0 \\ 36 + k = 0 \\ k = - 36

Answer 2

Answer :

Pls refer to the attachment given below