Question

what should be added to X square minus 2x - 11 so that the sum will be divisible by x plus 3 as well as X minus 5

Answer 1

Answer:

-4 must be added to the given equation, x^2-2x-11

Explanation:

The required factors are- (X+3) , (x-5)

When we multiply the factors, we get

$x^{2} + 3x - 5x - 15$
which is equal to,
$x {}^{2} - 2x - 15$
Subtracting the equation given in question from the above, we find only -4 remains.

This if added would yield the required factors.

Hope this will be helpful.