Question

4) Divide and write the quotient and remainder for each. Also check to see if your division is correct using the rule: dividend = (divisor X quotient) + remainder. (i) x² + 5x + 6 by x + 2 2 X​

Answer 1

Step-by-step explanation:

Divide and write the quotient and remainder for each. Also check to see if your division is correct using the rule: dividend = (divisor X quotient) + remainder. (i) x² + 5x + 6 by x + 2 2 X

Answer 2

Answer:

We divide the given polynomial x2+5x+6 by the monomial x+2 as shown below:

x2+5x+6/x+2

= x2+3x+2x+6/x+2

=x(x+3)+2(x+3)/x+2

=(x+2)(x+3)/x+2

=x+3 

Hence, x+2x2+5x+6=x+3.