Question

3

Select the correct answer.
What expression and quotient does the diagram model?
-1
-1
Ο Α.
B.
C.
D.
x² + 3x - 10
x+2
²+3x10
x-2
² + 7x + 10
x+2
x²7x+10
x-2
-X
-X
=x-5
=x+5
=x+5
=x-5
1
-1
-1
1
X
-1
-1
1
X
-1
-1
1
-1
-1
1
X
-1
-1

Answer 1

The expression and quotient modeled by the diagram is (x² + 3x - 10)/(x - 2) = x + 5

What expression and quotient does the diagram model?

From the question, we have the following parameters that can be used in our computation:

The diagram

Where, we have that it represents the quotient of two expressions

First, the expression at the first row is the quotient

So, we have

Quotient = x + 1 + 1 + 1 + 1 + 1

Quotient = x + 5

Next, we have the expression at the first column to be the divisor

So, we have

Divisor = x - 1 - 1

Divisor = x - 2

Evaluating the other expressions, we have

Dividend = x² + x + x + x + x + x - x - x - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1

This gives

Dividend = x² + 3x - 10

So, we have the quotient to be (x² + 3x - 10)/(x - 2) = x + 5