Question

3. Divide and verify the result for the following.
a. (z2 + 14z + 12) by (z + 7)​

Answer 1

Step-by-step explanation:

hope this helps you and look the answer once

Answer 2

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 × 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.

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