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Isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table.

Quotient



Divisor

3x2
– 5x
– 2
x
3x3
–5x2
–2x
+ 2
6x2
A
B

What are the missing values in the table?

Sagot :

Varshamittal029idn

The value of A and B are -10x and -4 respectively.

Division involves gathering a number of expressions into smaller forms.

The quotient is represented by the expression

Quotient= Dividend /Divisor

We have the value of the Dividend from the division table given in the question

Dividend of the Operation= A

Divisor of the Operation=2

Quotient of the Operation= -5x

As we know Quotient= Dividend /Divisor

So, -5x= A/2

multiplying 2 on both sides

⇒(-5x)2= A/2*2

⇒ A= -10x

Similarly, We have the value of the Dividend from the division table given in the question

Dividend of the Operation= B

Divisor of the Operation=2

Quotient of the Operation = -2

As we know Quotient= Dividend /Divisor

So, -2= B/2

multiplying 2 on both sides

⇒(-2)2= AB2*2

⇒ B= -4

Therefore the value of A and B are -10x and -4 respectively.

Learn more about division

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