Question

On dividing 4x + x² + 5x - 6 by (x - 1) the quotient is.​

Answer 1

Answer:

We divide the given polynomial x

2

+5x+6 by the monomial x+2 as shown below:

x+2

x

2

+5x+6

=

x+2

x

2

+3x+2x+6

=

x+2

x(x+3)+2(x+3)

=

x+2

(x+2)(x+3)

=x+3

Hence,

x+2

x

2

+5x+6

=x+3.