Question

find the value of k if x minus 3 is a factor of P of x is equal to kx square minus x minus 15​

Answer 1

Given question -:

find the value of k if x minus 3 is a factor of P of x is equal to kx square minus x minus 15

let's try to solve the question

Given that

$x - 3 \: is \: a \: factor \: of \: k {x}^{2} - x - 15$

so

$x - 3 = 0 \\ x = 3$

now put the value of x in given above equation

$k {x}^{2} - x - 15 = 0$

${3}^{2} k - 3 + 15 = 0$

$9k + 12 = 0$

$k = - \frac{12} - \\ \: \: \: \: \: \: \: \: \: \: \: \: {9}$

$k = - \frac{4} - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: {3}$

Hope this will help you

Thank you ..