Question

what should be subtracted from (zsquare +9z+15) so that the resulting polynomial is exactly divisible by (z+6)​

disclaimer:- please don't get confused in zsquare it's z power 2 ​

Answer 1

Answer:

-3

Step-by-step explanation:

The quotient of the given divisor and divisible is z+3. The remainder is -3. If, -3 is subtracted from the polynomial, then,

(z^2 + 9z + 15) - (-3)

= z^2 + 9z + 15 + 3

z^2 + 9z + 18( ans )

Answer 2

let x is subtracted from (z² +9z+15) to get z+6

according to the question

(z² +9z+15) -x = z+6

-x = z+6 - (z² +9z+15)

x= z+6 + (z² +9z+15)

x= z² +9z +21

hence z² +9z +21 is substracted from (z² +9z+15) to get z+6