Question

plz help me
i will mark as brainlist
divide and verified the results of the following
(z²+14z+12)by(z+7)​

Answer 1

Answer:

Quotient = z + 7

Quotient = z + 7 Remainder = -37

Quotient = z + 7 Remainder = -37 Divisor = z + 7

Quotient = z + 7 Remainder = -37 Divisor = z +7

Dividend = z² + 14z + 12

GIVEN

Divisor = (z+7)

Dividend = (z²+14z +12)

TO FIND

To simplify and verify the division.

SOLUTION

We can simply solve the above problem as

follows:

First we will divide the expression; z² + 14z + 12 by

z+7

z+7

z+7)z² + 14z + 12

-z² + 7z

7z+12

-7z+49

-37

On division

Quotient = z+7

Remainder = -37

Divisor = z + 7

Dividend = z² + 14z + 12

To verify the division, We will apply the following

formula-

Dividend = Divisor x Quotient + Remainder

z² + 14z + 12 = (z + 7)× (z + 7) + (-37)

SOLVING RHS

= z² +49 +14z-37

= z² + 14z + 12

Since, LHS = RHS

Hence the division is verified.